Local topological algebraicity of analytic function germs-Reference-Cited by-同舟云学术

Local topological algebraicity of analytic function germs

Published:2016-06-20 Issue:1 Volume:26 Page:177-197
ISSN:1056-3911
Container-title:Journal of Algebraic Geometry
language:en
Short-container-title:J. Algebraic Geom.

Author:

Bilski Marcin,Parusiński Adam,Rond Guillaume

Abstract

Mostowski showed that every (real or complex) germ of an analytic set is homeomorphic to the germ of an algebraic set. In this paper we show that every (real or complex) analytic function germ, defined on a possibly singular analytic space, is topologically equivalent to a polynomial function germ defined on an affine algebraic variety.

Publisher

American Mathematical Society (AMS)

Subject

Geometry and Topology,Algebra and Number Theory

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