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Journal Articles Journal of Algebraic Geometry Year : 2017

Local topological algebraicity of analytic function germs

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.
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Dates and versions

hal-01255235 , version 1 (13-01-2016)

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Marcin Bilski, Adam Parusinski, Guillaume Rond. Local topological algebraicity of analytic function germs. Journal of Algebraic Geometry, 2017, 26 (1), pp.177 - 197. ⟨10.1090/jag/667⟩. ⟨hal-01255235⟩
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