Celebratio Mathematica

Friedrich E. P. Hirzebruch


[1]F. Hirzebruch: “Über eine Klasse von ein­fachzusam­menhängenden kom­plex­en Man­nig­faltigkeiten,” Math. Ann. 124 (1951), pp. 77–​86. MR 0045384

[2]F. Hirzebruch: “Über­tra­gung ein­i­ger Sätze aus der The­or­ie der al­geb­rais­chen Flächen auf kom­plexe Man­nig­faltigkeiten von zwei kom­plex­en Di­men­sion­en,” J. Reine An­gew. Math. 191 (1953), pp. 110–​124. MR 0071092 Zbl 0052.​19802

[3]F. Hirzebruch: “On Steen­rod’s re­duced powers, the in­dex of in­er­tia, and the Todd genus,” Proc. Nat. Acad. Sci. U. S. A. 39 (1953), pp. 951–​956. MR 0063670 Zbl 0051.​14501

[4]F. Hirzebruch: “Über die qua­ternionalen pro­jekt­iven Räume,” S.-B. Math.-Nat. Kl. Bay­er. Akad. Wiss. 1953 (1953), pp. 301–​312. MR 0065155

[5]F. Hirzebruch: “Über vier­di­men­sionale Riemannsche Flächen mehrdeut­i­ger ana­lyt­ischer Funk­tion­en von zwei kom­plex­en Veränder­lichen,” Math. Ann. 126 (1953), pp. 1–​22. MR 0062842 Zbl 0093.​27605

[6]F. Hirzebruch: “Arith­met­ic gen­era and the the­or­em of Riemann–Roch for al­geb­ra­ic vari­et­ies,” Proc. Nat. Acad. Sci. U. S. A. 40 (1954), pp. 110–​114. MR 0074086 Zbl 0055.​38803

[7]F. Hirzebruch: “Some prob­lems on dif­fer­en­ti­able and com­plex man­i­folds,” Ann. of Math. (2) 60 (1954), pp. 213–​236. MR 0066013 Zbl 0056.​16803

[8]F. Hirzebruch: “Der Satz von Riemann–Roch in Fais­ceau-the­or­et­ischer For­mu­lier­ung: ein­ige An­wendun­gen und of­fene Fra­gen,” pp. 457–​473 in Pro­ceed­ings of the In­ter­na­tion­al Con­gress of Math­em­aticians, 1954 (Am­s­ter­dam), vol. III. Er­ven P. Noord­hoff N.V. (Gronin­gen), 1956. MR 0087187 Zbl 0074.​36701

[9]F. Hirzebruch: Neue to­po­lo­gis­che Meth­oden in der al­geb­rais­chen Geo­met­rie. Ergeb­n­isse der Math­em­atik und ihr­er Gren­zge­bi­ete (N.F.) 9. Spring­er (Ber­lin), 1956. MR 0082174 Zbl 0070.​16302

[10]F. Hirzebruch and K. Kodaira: “On the com­plex pro­ject­ive spaces,” J. Math. Pures Ap­pl. (9) 36 (1957), pp. 201–​216. MR 0092195 Zbl 0090.​38601

[11] article S.-S. Chern, F. Hirzebruch, and J.-P. Serre: “On the in­dex of a fibered man­i­fold,” Proc. Am. Math. Soc. 8 (1957), pp. 587–​596. MR 0087943 Zbl 0083.​17801

[12]F. Hirzebruch and G. Scheja: Garben- und Co­homo­lo­gi­e­th­e­or­ie. Aus­arbei­tun­gen math­em­at­ischer und physikalis­cher Vor­le­sun­gen 20. Aschen­dorff (Münster), 1957. MR 0105100

[13]F. Hirzebruch: “Auto­morphe For­men und der Satz von Riemann–Roch,” pp. 129–​144 in Sym­posi­um in­ter­nacion­al de to­po­logía al­geb­ra­ica In­ter­na­tion­al sym­posi­um on al­geb­ra­ic to­po­logy. Uni­ver­sid­ad Nacion­al Autónoma de México and UN­ESCO (Mex­ico City), 1958. MR 0103280 Zbl 0129.​29801

[14]A. Borel and F. Hirzebruch: “Char­ac­ter­ist­ic classes and ho­mo­gen­eous spaces. I,” Amer. J. Math. 80 (1958), pp. 458–​538. MR 0102800

[15]F. Hirzebruch and H. Hopf: “Feld­er von Flächenele­men­ten in 4-di­men­sionalen Man­nig­faltigkeiten,” Math. Ann. 136 (1958), pp. 156–​172. MR 0100844 Zbl 0088.​39403

[16]M. F. Atiyah and F. Hirzebruch: “Riemann–Roch the­or­ems for dif­fer­en­ti­able man­i­folds,” Bull. Amer. Math. Soc. 65 : 4 (1959), pp. 276–​281. MR 0110106 Zbl 0142.​40901 article

[17]M. F. Atiyah and F. Hirzebruch: “Quelques théorèmes de non-plonge­ment pour les var­iétés différen­ti­ables” [Some the­or­ems of non-im­mer­sion for dif­fer­en­ti­able man­i­folds], Bull. Soc. Math. France 87 (1959), pp. 383–​396. See also Col­loques Int. Centre Nat. Rech. Sci. 89 (1960). MR 0114231 article

[18]A. Borel and F. Hirzebruch: “Char­ac­ter­ist­ic classes and ho­mo­gen­eous spaces. II,” Amer. J. Math. 81 (1959), pp. 315–​382. MR 0110105

[19]A. Borel and F. Hirzebruch: “Char­ac­ter­ist­ic classes and ho­mo­gen­eous spaces. III,” Amer. J. Math. 82 (1960), pp. 491–​504. MR 0120664 Zbl 0097.​36401

[20]F. Hirzebruch: “Kom­plexe Man­nig­faltigkeiten,” pp. 119–​136 in Proc. In­ter­nat. Con­gress Math. 1958. Cam­bridge Univ. Press (New York), 1960. MR 0123733 Zbl 0132.​19704

[21]M. F. Atiyah and F. Hirzebruch: “Vec­tor bundles and ho­mo­gen­eous spaces,” pp. 7–​38 in Dif­fer­en­tial geo­metry. Edi­ted by C. B. Al­lendo­er­fer. Pro­ceed­ings of Sym­po­sia in Pure Math­em­at­ics 3. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1961. MR 0139181 Zbl 0108.​17705 incollection

[22]M. F. Atiyah and F. Hirzebruch: “Co­homo­lo­gie-Op­er­a­tion­en und charak­ter­istische Klassen,” Math. Z. 77 : 1 (1961), pp. 149–​187. MR 0156361 Zbl 0109.​16002 article

[23]M. F. Atiyah and F. Hirzebruch: “Bott peri­od­icity and the par­al­lel­iz­ab­il­ity of the spheres,” Proc. Cam­bridge Philos. Soc. 57 (1961), pp. 223–​226. MR 0126282 Zbl 0108.​35902 article

[24]M. F. Atiyah and F. Hirzebruch: “Charak­ter­istische Klassen und An­wendun­gen,” En­sei­gne­ment Math. (2) 7 (1961), pp. 188–​213. MR 0154294 Zbl 0104.​39801 article

[25]M. F. Atiyah and F. Hirzebruch: “The Riemann–Roch the­or­em for ana­lyt­ic em­bed­dings,” To­po­logy 1 : 2 (1962), pp. 151–​166. MR 0148084 Zbl 0108.​36402 article

[26]M. F. Atiyah and F. Hirzebruch: “Ana­lyt­ic cycles on com­plex man­i­folds,” To­po­logy 1 (1962), pp. 25–​45. MR 0145560 Zbl 0108.​36401 article

[27]F. Hirzebruch: Neue to­po­lo­gis­che Meth­oden in der al­geb­rais­chen Geo­met­rie. Zweite ergänzte Au­flage. Ergeb­n­isse der Math­em­atik und ihr­er Gren­zge­bi­ete, N.F. 9. Spring­er (Ber­lin), 1962. MR 0137706 Zbl 0101.​38301

[28]F. Hirzebruch: To­po­lo­gic­al meth­ods in al­geb­ra­ic geo­metry, 3rd en­larged edition. Die Grundlehren der Math­em­at­ischen Wis­senschaften 131. Spring­er (New York, NY), 1966. New ap­pendix and trans­la­tion from the second Ger­man edi­tion by R. L. E. Schwar­zen­ber­ger, with an ad­di­tion­al sec­tion by A. Borel. MR 0202713 Zbl 0138.​42001

[29]F. Hirzebruch: “Über Sin­gu­lar­itäten kom­plex­er Flächen,” Rend. Mat. e Ap­pl. (5) 25 (1966), pp. 213–​232. MR 0217819 Zbl 0165.​24101

[30]F. Hirzebruch: “El­lipt­ische Dif­fer­en­tia­l­oper­atoren auf Man­nig­faltigkeiten,” pp. 583–​608 in Fest­s­chr. Gedächt­nis­fei­er K. Wei­er­strass. West­deutscher Ver­lag (Co­logne), 1966. MR 0210151

[31]F. Hirzebruch: “El­lipt­ische Dif­fer­en­tia­l­oper­atoren auf Man­nig­faltigkeiten,” pp. 33–​60 in Arbeits­ge­meinsch­aft für Forschung des Landes Nordrhein-West­falen, Natur-, In­genieur- und Gesell­schaft­swis­senschaften, Heft 157. West­deutscher Ver­lag (Co­logne), 1966. MR 0222911 Zbl 0237.​58016

[32]F. Hirzebruch: “In­vol­u­tion­en auf Man­nig­faltigkeiten,” pp. 148–​166 in Proc. Conf. on trans­form­a­tion groups (New Or­leans, LA, 1967). Spring­er (New York), 1968. MR 0250339 Zbl 0177.​26401

[33]F. Hir­cebruh: “El­lipt­ic dif­fer­en­tial op­er­at­ors man­i­folds,” Usephi Mat. Nauk 23 : 1 (139) (1968), pp. 191–​209. MR 0222912

[34]F. Hirzebruch and K. H. May­er: \( O(n) \)-Man­nig­faltigkeiten, exot­ische Sphären und Sin­gu­lar­itäten. Lec­ture Notes in Math­em­at­ics 57. Spring­er (Ber­lin), 1968. MR 0229251 Zbl 0172.​25304

[35]F. Hirzebruch and K. Jänich: “In­vol­u­tions and sin­gu­lar­it­ies,” pp. 219–​240 in Al­geb­ra­ic geo­metry (Tata Inst. Fund. Res., Bom­bay, 1968). Ox­ford Univ. Press (Lon­don), 1969. MR 0259948 Zbl 0221.​57024

[36]F. Hirzebruch: “The sig­na­ture of rami­fied cov­er­ings,” pp. 253–​265 in Glob­al ana­lys­is: Pa­pers in hon­or of K. Kodaira). Univ. Tokyo Press (Tokyo), 1969. MR 0258060 Zbl 0208.​51802

[37]M. Atiyah and F. Hirzebruch: “Spin-man­i­folds and group ac­tions,” pp. 18–​28 in Es­says on to­po­logy and re­lated top­ics: Mé­m­oires dédiés à Georges de Rham. Edi­ted by A. Hae­fli­ger and R. Narasim­han. Spring­er (New York), 1970. MR 0278334 Zbl 0193.​52401 incollection

[38]F. Hirzebruch: “Free in­vol­u­tions on man­i­folds and some ele­ment­ary num­ber the­ory,” pp. 411–​419 in Sym­po­sia Math­em­at­ica (IN­DAM, Rome, 1969/70), vol. V. Aca­dem­ic Press (Lon­don), 1971. MR 0287574 Zbl 0206.​52404

[39]F. Hirzebruch: “Pon­trja­gin classes of ra­tion­al ho­mo­logy man­i­folds and the sig­na­ture of some af­fine hy­per­sur­faces,” pp. 207–​212 in Pro­ceed­ings of Liv­er­pool Sin­gu­lar­it­ies Sym­posi­um, vol. II: 1969/1970. Lec­ture Notes in Math. 209. Spring­er (Ber­lin), 1971. MR 0336752 Zbl 0217.​49301

[40]F. Hirzebruch: “The sig­na­ture the­or­em: re­min­is­cences and re­cre­ation,” pp. 3–​31 in Pro­spects in math­em­at­ics (Prin­ceton Univ., 1970). Ann. of Math. Stud­ies, No. 70. Prin­ceton Univ. Press, 1971. MR 0368023 Zbl 0252.​58009

[41]F. Hirzebruch, W. D. Neu­mann, and S. S. Koh: Dif­fer­en­ti­able man­i­folds and quad­rat­ic forms. Lec­ture Notes in Pure and Ap­plied Math­em­at­ics 4. Mar­cel Dek­ker (New York), 1971. Ap­pendix II by W. Schar­lau. MR 0341499 Zbl 0226.​57001

[42]F. Hirzebruch: “The Hil­bert mod­u­lar group, res­ol­u­tion of the sin­gu­lar­it­ies at the cusps and re­lated prob­lems,” pp. 275–​288 in Sémin­aire Bourbaki, 23ème année (1970/1971). Lec­ture Notes in Math. 244. Spring­er (Ber­lin), 1971. Ex­posé no. 396. MR 0417187 Zbl 0232.​10017

[43]F. Hirzebruch and W. Schar­lau: Einführung in die Funk­tion­alana­lys­is. B. I.-Hoch­schultaschenbücher 296*. Bib­li­o­graph­isches In­sti­tut (Man­nheim), 1971. MR 0463864 Zbl 0219.​46001

[44]F. Hirzebruch: “The sig­na­ture the­or­em for dif­fer­en­ti­able man­i­folds and some ele­ment­ary num­ber the­ory,” pp. 78–​92 in Geo­metry of man­i­folds (RIMS, Kyôto Univ., 1972). R.I.M.S. Sem. Rep. 158. Res. Inst. Math. Sci. Kyôto Univ., 1972. MR 0407314 Zbl 0387.​57005

[45]F. Hirzebruch: “Pon­trja­gin classes of ra­tion­al ho­mo­logy man­i­fold,” pp. 1–​11 in Geo­metry of man­i­folds (RIMS, Kyôto Univ., 1972). R.I.M.S. Sem. Rep. 158. Res. Inst. Math. Sci. Kyôto Univ., 1972. Notes by S. Mor­ita. MR 0394694 Zbl 0387.​57006

[46]W. F. Ham­mond and F. Hirzebruch: “\( L \)-series, mod­u­lar im­bed­dings, and sig­na­tures,” Math. Ann. 204 (1973), pp. 263–​270. MR 0374038 Zbl 0245.​10017

[47]F. Hirzebruch: “The Hil­bert mod­u­lar group and some al­geb­ra­ic sur­faces,” pp. 55–​66, 264 in Pro­ceed­ings of the In­ter­na­tion­al Con­fer­ence on num­ber the­ory (Mo­scow, 1971), published as Trudy Mat. Inst. Steklov. 132. 1973. MR 0344255 Zbl 0282.​14010

[48]F. E. P. Hirzebruch: “Hil­bert mod­u­lar sur­faces,” En­sei­gne­ment Math. (2) 19 (1973), pp. 183–​281. MR 0393045 Zbl 0285.​14007

[49]F. E. P. Hirzebruch: Hil­bert mod­u­lar sur­faces, published as En­sei­gne­ment Math. (2) 21 : 4. Série des Conférences de l’Uni­on Mathématique In­ter­na­tionale. Secrétari­at de l’En­sei­gne­ment Mathématique, Uni­versité de Genève (Geneva), 1973. MR 0389921

[50]F. Hirzebruch: “Kur­ven auf den Hil­bertschen Mod­ulflächen und Klassen­zahlre­la­tion­en,” pp. 75–​93 in Clas­si­fic­a­tion of al­geb­ra­ic vari­et­ies and com­pact com­plex man­i­folds. Lec­ture Notes in Math 412. Spring­er (Ber­lin), 1974. MR 0376694 Zbl 0301.​14010

[51]F. Hirzebruch and D. Za­gi­er: The Atiyah–Sing­er the­or­em and ele­ment­ary num­ber the­ory. Math­em­at­ics Lec­ture Series 3. Pub­lish or Per­ish (Bo­ston, MA), 1974. MR 0650832 Zbl 0288.​10001

[52]F. Hirzebruch and A. Van de Ven: “Hil­bert mod­u­lar sur­faces and the clas­si­fic­a­tion of al­geb­ra­ic sur­faces,” In­vent. Math. 23 (1974), pp. 1–​29. MR 0364262 Zbl 0296.​14020

[53]Pro­ceed­ings of the In­ter­na­tion­al Con­fer­ence on Num­ber The­ory (Mo­scow, Septem­ber 14–18, 1971). Edi­ted by I. M. Vino­gradov, A. A. Karacuba, K. T. Oskolkov, and A. N. Paršin. Pro­ceed­ings of the Steklov In­sti­tute of Math­em­at­ics 132. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, R.I.), 1975. MR 0369228

[54]F. Hir­cebruh: “The Hil­bert mod­u­lar group for the field \( \mathbf{ Q}(\sqrt{5}) \), and the cu­bic di­ag­on­al sur­face of Cleb­sch and Klein,” Us­pehi Mat. Nauk 31 : 5(191) (1976), pp. 153–​166. MR 0498397

[55]F. Hirzebruch: “Hil­bert mod­u­lar sur­faces and class num­bers,” pp. 151–​164 in Col­loque “Ana­lyse et to­po­lo­gie” en l’hon­neur de Henri Cartan (Or­say, 1974). Astérisque 32–​33. Soc. Math. France (Par­is), 1976. MR 0447255 Zbl 0334.​14017

[56]F. Hirzebruch and D. Za­gi­er: “In­ter­sec­tion num­bers of curves on Hil­bert mod­u­lar sur­faces and mod­u­lar forms of Nebenty­pus,” In­vent. Math. 36 (1976), pp. 57–​113. MR 0453649 Zbl 0332.​14009

[57]F. Hirzebruch and D. Za­gi­er: “Clas­si­fic­a­tion of Hil­bert mod­u­lar sur­faces,” pp. 43–​77 in Com­plex ana­lys­is and al­geb­ra­ic geo­metry. Iwanami Shoten (Tokyo), 1977. MR 0480356 Zbl 0354.​14011

[58]F. Hirzebruch: “The ring of Hil­bert mod­u­lar forms for real quad­rat­ic fields in small dis­crim­in­ant,” pp. 287–​323 in Mod­u­lar func­tions of one vari­able, VI (Univ. Bonn, 1976). Lec­ture Notes in Math. 627. Spring­er (Ber­lin), 1977. MR 0480355 Zbl 0369.​10017

[59]F. Hirzebruch: “Über­la­ger­ungen der pro­jekt­iven Ebene und Hil­bertsche Mod­ulflächen,” En­sei­gn. Math. (2) 24 : 1–​2 (1978), pp. 63–​78. MR 0498399 Zbl 0382.​14010

[60]F. Hirzebruch: “Mod­ulflächen und Mod­ulkur­ven zur sym­met­rischen Hil­bertschen Mod­ul­gruppe,” Ann. Sci. École Norm. Sup. (4) 11 : 1 (1978), pp. 101–​165. MR 0498398 Zbl 0384.​14011

[61]F. Hirzebruch and A. Van de Ven: “Min­im­al Hil­bert mod­u­lar sur­faces with \( p_{g}=3 \) and \( k^{2}=2 \),” Amer. J. Math. 101 : 1 (1979), pp. 132–​148. MR 527829 Zbl 0414.​14023

[62]F. Hirzebruch: “The ca­non­ic­al map for cer­tain Hil­bert mod­u­lar sur­faces,” pp. 75–​95 in The Chern Sym­posi­um 1979 (Berke­ley, CA, 1979). Spring­er (New York), 1980. MR 609558 Zbl 0457.​14019

[63]F. Hirzebruch and G. van der Geer: Lec­tures on Hil­bert mod­u­lar sur­faces. Sémin­aire de Mathématiques Supérieures 77. Presses de l’Uni­versité de Mon­tréal (Montreal, Que.), 1981. MR 639898 Zbl 0483.​14009

[64]F. Hirzebruch: “Some ex­amples of al­geb­ra­ic sur­faces,” pp. 55–​71 in Pa­pers in al­gebra, ana­lys­is and stat­ist­ics (Hobart, 1981). Con­temp. Math. 9. Amer. Math. Soc. (Provid­ence, R.I.), 1981. MR 655974

[65]F. Hirzebruch: “Ar­range­ments of lines and al­geb­ra­ic sur­faces,” pp. 113–​140 in Arith­met­ic and geo­metry, vol. II. Pro­gr. Math. 36. Birkhäuser (Mass.), 1983. MR 717609 Zbl 0527.​14033

[66]B. L. van der Waer­den: Zur al­geb­rais­chen Geo­met­rie: Se­lec­ted pa­pers. Spring­er (Ber­lin), 1983. With a fore­word by F. Hirzebruch. MR 716328 Zbl 0552.​14001

[67]H.-D. Ebbing­haus, H. Her­mes, F. Hirzebruch, M. Koech­er, K. Main­zer, A. Prestel, and R. Rem­mert: Zah­len. Grundwis­sen Math­em­atik 1. Spring­er (Ber­lin), 1983. Ed­ited and with an in­tro­duc­tion by K. Lamotke. MR 736150 Zbl 0543.​00001

[68]F. Khirtsebrukh: Al­geb­ra­ic sur­faces with ex­tremal Chern num­bers (based on a dis­ser­ta­tion by T. Höfer, Bonn, 1984), 1985. MR 807793

[69]Arbeit­sta­gung Bonn 1984 (Max-Planck-In­sti­tut für Math­em­atik, Bonn, June 15–22, 1984). Edi­ted by F. Hirzebruch, J. Schwer­mer, and S. Suter. Lec­ture Notes in Math­em­at­ics 1111. Spring­er (Ber­lin), 1985. MR 797412

[70]F. Hirzebruch: “Sin­gu­lar­it­ies of al­geb­ra­ic sur­faces and char­ac­ter­ist­ic num­bers,” pp. 141–​155 in The Lef­schetz centen­ni­al con­fer­ence (Mex­ico City, 1984), Part I. Con­temp. Math. 58. Amer. Math. Soc. (Provid­ence, RI), 1986. MR 860410 Zbl 0601.​14030

[71]F. Hirzebruch: “Al­geb­rais­che Flächen als Quo­tien­ten sym­met­rischer Räume,” pp. 69–​71 in GDR math­em­aticians’ con­gress 1986 (Rostock, 1986), vol. 1. Wil­helm-Pieck-Univ. Rostock, 1986. MR 845289

[72]F. Hirzebruch: Ges­am­melte Abhand­lun­gen. Spring­er (Ber­lin), 1987. In two volumes: 1951–1962 and 1963–1987. MR 931775

[73]H. Grauert, G. Harder, and R. Rem­mert: “Cur­riculum vitae math­em­at­icae,” Math. Ann. 278 : 1–​4 (1987), pp. iii–​viii. Dual Ger­man and Eng­lish texts. MR 909214

[74]A. Mar­in: “Les sec­tions secrètes des tores simples dans l’es­pace eu­c­lidi­en \( \mathbf{ R}^3 \) tell­es que Kuiper les dévoile à Hirzebruch,” Math. Ann. 278 : 1–​4 (1987), pp. 211–​217. MR 909226 Zbl 0624.​57007

[75]G. Barthel, F. Hirzebruch, and T. Höfer: Geraden­kon­fig­ur­a­tion­en und Al­geb­rais­che Flächen. As­pects of Math­em­at­ics D4. Friedr. Vieweg & Sohn (Braun­sch­weig), 1987. MR 912097 Zbl 0645.​14016

[76]F. Hirzebruch: “El­lipt­ic gen­era of level \( N \) for com­plex man­i­folds,” pp. 37–​63 in Dif­fer­en­tial geo­met­ric­al meth­ods in the­or­et­ic­al phys­ics (Como, 1987). NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci. 250. Kluwer Acad. Publ. (Dordrecht), 1988. MR 981372 Zbl 0667.​32009

[77]F. Hirzebruch: “Cod­ier­ung­sthe­or­ie und ihre Bez­iehung zu Geo­met­rie und Zah­len­the­or­ie,” Rhein­isch-Westfälis­che Akad. Wiss. Natur-, In­gr.- Wirtschaft­swiss. 370 (1989), pp. 7–​33. MR 1151176 Zbl 0697.​94010

[78]Friedrich Hirzebruch,” C. R. Acad. Sci. Par­is Sér. Gén. Vie Sci. 6 : 6 (1989), pp. 493–​494. MR 1063963

[79]H.-D. Ebbing­haus, H. Her­mes, F. Hirzebruch, M. Koech­er, K. Main­zer, J. Neuk­irch, A. Prestel, and R. Rem­mert: Num­bers. Gradu­ate Texts in Math­em­at­ics 123. Spring­er (New York), 1990. With an in­tro­duc­tion by K. Lamotke. With a pre­face by J. H. Ewing. MR 1066206 Zbl 0705.​00001

[80]Ein Jahrhun­dert Math­em­atik 1890–1990. Edi­ted by G. Fisc­her, F. Hirzebruch, W. Schar­lau, and W. Törnig. Dok­u­mente zur Geschichte der Math­em­atik: Fest­s­chrift zum Ju­biläum der DMV 6. Friedr. Vieweg & Sohn (Braun­sch­weig), 1990. MR 1085961

[81]F. Hirzebruch and T. Höfer: “On the Euler num­ber of an or­bi­fold,” Math. Ann. 286 : 1–​3 (1990), pp. 255–​260. MR 1032933 Zbl 0679.​14006

[82]J. G. Bliss, R. V. Moody, and A. Pi­an­zola: “Ap­pendix to: ‘El­lipt­ic gen­era, in­vol­u­tions, and ho­mo­gen­eous spin man­i­folds’ by F. Hirzebruch and P. Slodowy,” Geom. Ded­icata 35 : 1–​3 (1990), pp. 345–​351. MR 1066571

[83]F. Hirzebruch and P. Slodowy: “El­lipt­ic gen­era, in­vol­u­tions, and ho­mo­gen­eous spin man­i­folds,” Geom. Ded­icata 35 : 1–​3 (1990), pp. 309–​343. MR 1066570 Zbl 0712.​57010

[84]F. Hirzebruch: “Ax­iome, Defini­tion­en, Be­griffe in der Math­em­atik,” Nova Acta Leo­pold­ina (N.F.) 63 : 272 (1990), pp. 61–​77. MR 1137444 Zbl 0743.​00019

[85]F. Hirzebruch: “One hun­dred years of the Deutsche Math­em­atiker-Ver­ein­i­gung,” Math. In­tel­li­gen­cer 13 : 2 (1991), pp. 8–​11. MR 1098215 Zbl 0718.​01035

[86]F. Hirzebruch and W. Schar­lau: Einführung in die Funk­tion­alana­lys­is. B.I.-Hoch­schultaschenbücher 296. Bib­li­o­graph­isches In­sti­tut (Man­nheim), 1991. Re­print of the 1971 ori­gin­al. MR 1183466 Zbl 0925.​46001

[87]L. A. Za­l­c­man: “Math­em­aticians sweep 1988 Wolf Prizes,” Pok­roky Mat. Fyz. As­tro­nom. 36 : 3 (1991), pp. 129–​140. MR 1146850

[88]H.-D. Ebbing­haus, H. Her­mes, F. Hirzebruch, M. Koech­er, K. Main­zer, J. Neuk­irch, A. Prestel, and R. Rem­mert: Num­bers. Gradu­ate Texts in Math­em­at­ics 123. Spring­er (New York), 1991. With an in­tro­duc­tion by K. Lamotke. With a pre­face by J. H. Ewing. MR 1415833 Zbl 0741.​00003

[89]Mis­cel­lanea math­em­at­ica. Edi­ted by P. Hilton, F. Hirzebruch, and R. Rem­mert. Spring­er (Ber­lin), 1991. MR 1131113

[90]F. Hirzebruch: “Centen­ni­al of the Ger­man Math­em­at­ic­al So­ci­ety,” pp. 177–​194 in Mis­cel­lanea math­em­at­ica (Bre­men, Septem­ber 16th–22nd, 1990). Spring­er (Ber­lin), 1991. MR 1131124

[91]J.-P. Bour­guignon: “Ques­tions au Pro­fes­seur Hirzebruch,” Gaz. Math. 53 (1992), pp. 11–​19. MR 1175535 Zbl 0772.​01008

[92]F. Hirzebruch, T. Ber­ger, and R. Jung: Man­i­folds and mod­u­lar forms. As­pects of Math­em­at­ics E20. Friedr. Vieweg & Sohn (Braun­sch­weig), 1992. MR 1189136 Zbl 0767.​57014

[93]W. Ebel­ing: Lat­tices and codes. Ad­vanced Lec­tures in Math­em­at­ics. Friedr. Vieweg & Sohn (Braun­sch­weig), 1994. A course par­tially based on lec­tures by F. Hirzebruch. MR 1280458 Zbl 0805.​11048

[94]F. Hirzebruch: “The to­po­logy of nor­mal sin­gu­lar­it­ies of an al­geb­ra­ic sur­face (after D. Mum­ford),” pp. 129–​137 in Sémin­aire Bourbaki, vol. 8. Soc. Math. France (Par­is), 1995. Ex­posé no. 250. MR 1611536

[95]F. Hirzebruch: “Sin­gu­lar­it­ies and exot­ic spheres,” pp. 13–​32 in Sémin­aire Bourbaki, vol. 10. Soc. Math. France (Par­is), 1995. Ex­posé no. 314. MR 1610436

[96]F. Hirzebruch: To­po­lo­gic­al meth­ods in al­geb­ra­ic geo­metry. Clas­sics in Math­em­at­ics. Spring­er (Ber­lin), 1995. Re­print of the 1978 edi­tion. MR 1335917 Zbl 0843.​14009

[97]F. Hirzebruch: “A Riemann–Roch the­or­em for dif­fer­en­ti­able man­i­folds,” pp. 129–​149 in Sémin­aire Bourbaki, vol. 5. Soc. Math. France (Par­is), 1995. Ex­posé no. 177. MR 1603462

[98]M. Atiyah: “Friedrich Hirzebruch: An ap­pre­ci­ation,” pp. 1–​5 in Pro­ceed­ings of the Hirzebruch 65 con­fer­ence on al­geb­ra­ic geo­metry (Bar-Il­an Uni­versity, Ramat Gan, Is­rael, 2–7 May 1993). Edi­ted by M. Teich­er. Is­rael Math­em­at­ic­al Con­fer­ence Pro­ceed­ings 9. Bar-Il­an Uni­versity (Ramat Gan, Is­rael), 1996. MR 1360493 Zbl 0834.​01012 incollection

[99]Pro­ceed­ings of the Hirzebruch 65 Con­fer­ence on Al­geb­ra­ic Geo­metry (Bar-Il­an Uni­versity, Ramat Gan, May 2–7, 1993). Edi­ted by M. Teich­er. Is­rael Math­em­at­ic­al Con­fer­ence Pro­ceed­ings 9. Bar-Il­an Uni­versity Gel­bart Re­search In­sti­tute for Math­em­at­ic­al Sci­ences (Ramat Gan), 1996. MR 1360492

[100]F. Hirzebruch, J.-P. De­mailly, and J. Lannes: Journée en l’hon­neur de Henri Cartan. SMF Journée An­nuelle [SMF An­nu­al Con­fer­ence] 1997. Société Mathématique de France (Par­is), 1997. MR 1492594 Zbl 0932.​00086

[101]F. Hirzebruch: “Learn­ing com­plex ana­lys­is in Muen­ster-Par­is, Zuerich and Prin­ceton from 1945 to 1953,” pp. 1–​2 in Journée en l’hon­neur de Henri Cartan. SMF Journ. An­nu. 1997. Soc. Math. France (Par­is), 1997. MR 1492595 Zbl 1071.​01500

[102]Friedrich Hirzebruch, the second re­cip­i­ent of the Math­em­at­ic­al So­ci­ety of Ja­pan’s Takakazu Kan Prize,” Sūgaku 49 : 2 (1997), pp. 186. MR 1476662

[103]K. Ueno: “The work of Friedrich Hirzebruch, re­cip­i­ent of the Takakazu Kan Prize of the Math­em­at­ic­al So­ci­ety of Ja­pan,” Sūgaku 49 : 2 (1997), pp. 186–​187. MR 1476663 Zbl 0929.​01039

[104]F. Hirzebruch: “The second Math­em­at­ic­al So­ci­ety of Ja­pan ad­dress upon re­ceiv­ing the so­ci­ety’s edu­ca­tion­al unity prize ‘Reg­u­lar poly­hed­rons and soc­cer balls’,” Sūgaku 49 : 2 (1997), pp. 173–​181. MR 1476659

[105]F. Hirzebruch: “Learn­ing com­plex ana­lys­is in Münster-Par­is, Zürich and Prin­ceton from 1945 to 1953,” Gaz. Math. 74 (1997), pp. 27–​39. MR 1604723 Zbl 1024.​01512

[106]F. Hirzebruch: “Ger­man-Rus­si­an co­oper­a­tion in math­em­at­ics,” Mitt. Dtsch. Math.-Ver. 4 (1997), pp. 54–​58. MR 1603634 Zbl 0966.​01503

[107]F. Hirzebruch: “Kuni­hiko Kodaira: math­em­atician, friend, and teach­er,” No­tices Amer. Math. Soc. 45 : 11 (1998), pp. 1456–​1462. MR 1656896 Zbl 0908.​01029

[108]F. Hirzebruch: “Learn­ing com­plex ana­lys­is in Münster-Par­is, Zürich and Prin­ceton from 1945 to 1953,” Mitt. Dtsch. Math.-Ver. 2 (1998), pp. 5–​11. MR 1631388

[109]Al­geb­ra­ic geo­metry: Hirzebruch 70 (Warsaw, May 11–16, 1998). Edi­ted by P. Pragacz, M. Szurek, and J. Wiśniewski. Con­tem­por­ary Math­em­at­ics 241. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1999. MR 1718132

[110]F. Hirzebruch: “Com­plex cobor­d­ism and the el­lipt­ic genus,” pp. 9–​20 in Al­geb­ra­ic geo­metry: Hirzebruch 70 (Warsaw, 1998). Con­temp. Math. 241. Amer. Math. Soc. (Provid­ence, RI), 1999. MR 1718134 Zbl 0938.​57025

[111]F. Hirzebruch: “Emmy No­eth­er and to­po­logy,” pp. 57–​65 in The her­it­age of Emmy No­eth­er (Ramat-Gan, 1996). Is­rael Math. Conf. Proc. 12. Bar-Il­an Univ. (Ramat Gan), 1999. MR 1665435 Zbl 0928.​01012

[112]F. Hirzebruch: “On the Euler char­ac­ter­ist­ic of man­i­folds with \( c_1=0 \). A let­ter to V. Grit­sen­ko,” Al­gebra i An­al­iz 11 : 5 (1999), pp. 126–​129. MR 1734349

[113]Pa­pers ded­ic­ated to Atiyah, Bott, Hirzebruch, and Sing­er. Edi­ted by S.-T. Yau. Sur­veys in Dif­fer­en­tial Geo­metry (sup­ple­ment to Journ­al of Dif­fer­en­tial Geo­metry) 7. In­ter­na­tion­al Press (Somerville, MA), 2000. MR 1919419 book

[114]F. Hirzebruch: “Kuni­hiko Kodaira: math­em­atician, friend, and teach­er,” pp. v–​xiii in Kodaira’s is­sue, published as Asi­an J. Math. 4 : 1. 2000. MR 1803727 Zbl 0994.​01014

[115]F. Hirzebruch: “The Atiyah–Bott–Sing­er fixed point the­or­em and num­ber the­ory,” pp. 313–​326 in Sur­veys in dif­fer­en­tial geo­metry. Surv. Dif­fer. Geom. VII. Int. Press (Somerville, MA), 2000. MR 1919429 Zbl 1061.​58022

[116]E. Brieskorn: “Sin­gu­lar­it­ies in the work of Friedrich Hirzebruch,” pp. 17–​60 in Sur­veys in dif­fer­en­tial geo­metry. Surv. Dif­fer. Geom. VII. Int. Press (Somerville, MA), 2000. MR 1919421 Zbl 1084.​32506

[117]R. Langev­in: “In­ter­view: Friedrich Hirzebruch,” pp. 1229–​1239 in De­vel­op­ment of math­em­at­ics 1950–2000. Birkhäuser (Basel), 2000. MR 1796875

[118] book Wolf Prize in math­em­at­ics, vol. 1. Edi­ted by S. S. Chern and F. Hirzebruch. World Sci­entif­ic (River Edge, NJ), 2000. MR 1834907 Zbl 0972.​01032

[119]Ap­plic­a­tions of al­geb­ra­ic geo­metry to cod­ing the­ory, phys­ics and com­pu­ta­tion (Eil­at, Feb­ru­ary 25–March 1, 2001). Edi­ted by C. Ciliberto, F. Hirzebruch, R. Mir­anda, and M. Teich­er. NATO Sci­ence Series II: Math­em­at­ics, Phys­ics and Chem­istry 36. Kluwer Aca­dem­ic Pub­lish­ers (Dordrecht), 2001. MR 1866890

[120] book Wolf Prize in math­em­at­ics, vol. 2. Edi­ted by S.-S. Chern and F. E. P. Hirzebruch. World Sci­entif­ic (River Edge, NJ), 2001. MR 1863749 Zbl 1030.​01001

[121]W. Ebel­ing: Lat­tices and codes, re­vised edition. Ad­vanced Lec­tures in Math­em­at­ics. Friedr. Vieweg & Sohn (Braun­sch­weig), 2002. A course par­tially based on lec­tures by F. Hirzebruch. MR 1938666 Zbl 1030.​11030

[122]The founders of in­dex the­ory: Re­min­is­cences of Atiyah, Bott, Hirzebruch, and Sing­er. Edi­ted by S.-T. Yau. In­ter­na­tion­al Press (Somerville, MA), 2003. 2nd edi­tion was pub­lished in 2009. MR 2136846 Zbl 1072.​01021 book

[123]F. Hirzebruch: “Trauer­ans­prache für Peter Slodowy, 27. Novem­ber 2002,” pp. 13–​17 in Geo­metry and to­po­logy of caustics—CAUSTICS ’02. Banach Cen­ter Publ. 62. Pol­ish Acad. Sci. (Warsaw), 2004. MR 2055866

[124]J. Ar­thur, E. Bom­bieri, K. Chandrasekhar­an, F. Hirzebruch, G. Prasad, J.-P. Serre, T. A. Spring­er, and J. Tits: “Ar­mand Borel (1923–2003),” No­tices Amer. Math. Soc. 51 : 5 (2004), pp. 498–​524. MR 2046057 Zbl 1052.​01012

[125]J. Cuntz: “Laud­a­tio auf Prof. Friedrich Hirzebruch,” Mitt. Dtsch. Math.-Ver. 12 : 4 (2004), pp. 287. MR 2110687

[126]A. W. Knapp, J.-P. Serre, K. Chandrasekhar­an, E. Bom­bieri, F. Hirzebruch, T. A. Spring­er, J. Tits, J. Ar­thur, G. Prasad, and M. Goresky: “Ar­mand Borel,” Asi­an J. Math. 8 : 4 (2004), pp. xlvii–​xcvi. Re­prin­ted from No­tices Amer. Math. Soc. 51:5 (2004), 498–524. MR 2127939

[127]F. Hirzebruch: “The pro­ject­ive tan­gent bundles of a com­plex three-fold,” Pure Ap­pl. Math. Q. 1 : 3, part 2 (2005), pp. 441–​448. MR 2201324 Zbl 1187.​14009

[128]W. Lück and V. A. Schmidt: “In­ter­view mit Friedrich Hirzebruch,” Mitt. Dtsch. Math.-Ver. 13 : 3 (2005), pp. 183–​187. MR 2185694

[129]F. Hirzebruch: “Gründungs­geschichte des Max-Planck-In­sti­tuts für Math­em­atik,” Mitt. Dtsch. Math.-Ver. 14 : 2 (2006), pp. 73–​79. MR 2244583 Zbl 06039607

[130] article F. Hirzebruch and U. Si­mon: “Na­chruf auf Shi­ing-Shen Chern” [Ob­it­u­ary: Shi­ing-Shen Chern], Jahresber. Deutsch. Math.-Ver­ein. 108 : 4 (2006), pp. 197–​217. In Ger­man. MR 2287091 Zbl 1156.​01340

[131]F. Hirzebruch: “Eu­leri­an poly­no­mi­als,” Münster J. Math. 1 (2008), pp. 9–​14. MR 2502493 Zbl 05507003

[132]The founders of in­dex the­ory: Re­min­is­cences of Atiyah, Bott, Hirzebruch, and Sing­er, 2nd edition. Edi­ted by S.-T. Yau. In­ter­na­tion­al Press (Somerville, MA), 2009. Ori­gin­al edi­tion was pub­lished in 2003. MR 2547480 Zbl 1195.​01090 book

[133]L. Ji, K. Liu, and S.-T. Yau: “Pre­face,” pp. i–​ii in Spe­cial is­sue: In hon­or of Friedrich Hirzebruch, Part 1, published as Pure Ap­pl. Math. Q. 5 : 2. 2009. MR 2508896

[134]R. Thiele: Van der Waer­den in Leipzig. EAGLE-Es­say. Edi­tion am Guten­ber­g­platz Leipzig (EAG.LE) (Leipzig), 2009. With a fore­word by Friedrich Hirzebruch. MR 2582147 Zbl 1180.​01069

[135]F. E. P. Hirzebruch and M. Kreck: “On the concept of genus in to­po­logy and com­plex ana­lys­is,” No­tices Amer. Math. Soc. 56 : 6 (2009), pp. 713–​719. MR 2536790 Zbl 1171.​57300

[136]P. D. Lax, F. Hirzebruch, B. Mazur, L. Con­lon, E. B. Curtis, H. M. Ed­wards, J. Huebschmann, and H. Shul­man: “Raoul Bott as we knew him,” pp. 43–​49 in A cel­eb­ra­tion of the math­em­at­ic­al leg­acy of Raoul Bott (Mon­tréal, QC, 9–13 June 2008). Edi­ted by P. R. Ko­ti­uga. CRM Pro­ceed­ings & Lec­ture Notes 50. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 2010. MR 2648884 Zbl 1195.​01029 incollection

[137]J.-P. Bour­guignon, R. Rem­mert, and F. Hirzebruch: “Cartan, Europe, and hu­man rights,” No­tices Amer. Math. Soc. 57 : 8 (2010), pp. 972–​975. Re­prin­ted from News­let. Eur. Math. Soc., Decem­ber 2008. MR 2667494 Zbl 1195.​01052

[138]A. Loos, T. Vo­gt, and T. Heidborn: “In­ter­view mit Friedrich Hirzebruch,” Mitt. Dtsch. Math.-Ver. 19 : 2 (2011), pp. 86–​89. MR 2859063

[139]F. Hirzebruch: “Arith­met­ic gen­era and the the­or­em of Riemann–Roch,” pp. 81–​93 in Riemann–Roch the­or­em and re­lated ques­tions. C.I.M.E. Sum­mer Sch. 4. Spring­er (Heidel­berg), 2011. In Itali­an. MR 2867162