Local topological algebraicity of analytic function germs

2014/01/22 by Marcin Bilski, Bilski, Marcin, Adam Parusinski +3 · 1 citation
Mathematics · #13B40 #32S05 #32S15 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #Complex Variables (math.CV) #FOS: Mathematics #math.AC #math.AG #math.CV #msc:13B40 #msc:32S05 #msc:32S15

paper · pdf · doi:10.48550/arxiv.1401.5771

16 pages

arxiv created 2014/01/22 · arxiv updated 2014/01/23

Abstract

T. 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.

Cited by

• Ploski Approximation Theorem

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