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Mathematics > Algebraic Geometry

arXiv:1401.5771 (math)
[Submitted on 22 Jan 2014]

Title:Local topological algebraicity of analytic function germs

Authors:Marcin Bilski, Adam Parusinski, Guillaume Rond
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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.
Comments: 16 pages
Subjects: Algebraic Geometry (math.AG); Commutative Algebra (math.AC); Complex Variables (math.CV)
MSC classes: 32S05, 32S15, 13B40
Cite as: arXiv:1401.5771 [math.AG]
  (or arXiv:1401.5771v1 [math.AG] for this version)
  https://doi.org/10.48550/arXiv.1401.5771

Submission history

From: Guillaume Rond GUILLAUME ROND [view email]
[v1] Wed, 22 Jan 2014 20:03:46 UTC (19 KB)
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