Celebratio Mathematica — Neumann — Complete Bibliography

Complete Bibliography

Works connected to Vincent Grandjean

Filter the Bibliography List

year	title	people

			clear

L. Birbrair, A. Fernandes, V. Grandjean, and D. O’Shea: “Choking horns in Lipschitz geometry of complex algebraic varieties,” J. Geom. Anal. 24 : 4 (2014), pp. 1971–1981. Appendix by Walter D. Neumann. MR 3261728 Zbl 1307.14003 article

The paper studies the Lipschitz geometry of germs of complex algebraic varieties and introduces the notion of a choking horn. A choking horn is a family of cycles on an algebraic variety with the property that the cycles cannot be boundaries of nearby chains. The presence of choking horns is an obstruction to metric conicalness and the authors use this to prove that some classical isolated hypersurface singularities are not metrically conical. They also show that there exist countably infinitely many singular varieties, which are locally homeomorphic, but not locally subanalytically bi-Lipschitz equivalent with respect to the inner metric. The Appendix by W. Neumann uses separating sets to provide another example of the same phenomenon.

Vincent Grandjean	Related
Donal Bartholomew O'Shea	Related
Lev B. Birbrair	Related
Alexandre César Gurgel Fernandes	Related