On algebraic representatives of topological types of analytic hypersurface germs-Reference-Cited by-同舟云学术

On algebraic representatives of topological types of analytic hypersurface germs

Published:2011-11-28 Issue:4 Volume:21 Page:789-797
ISSN:1056-3911
Container-title:Journal of Algebraic Geometry
language:en
Short-container-title:J. Algebraic Geom.

Author:

de Bobadilla Javier

Abstract

A question of B. Teissier, inspired by a previous problem of R. Thom, asks whether for any germ of complex analytic hypersurface there exists a germ of complex algebraic hypersurface with the same topological type. Up to now, only the case of germs with an isolated singularity is known. In this article we answer in the affirmative, the case of the 1 1 -dimensional singular set and also for embedded topological types.

Publisher

American Mathematical Society (AMS)

Subject

Geometry and Topology,Algebra and Number Theory

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