Local topological algebraicity of analytic function germs
Algebraic Geometry
2014-01-23 v1 Commutative Algebra
Complex Variables
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.
Cite
@article{arxiv.1401.5771,
title = {Local topological algebraicity of analytic function germs},
author = {Marcin Bilski and Adam Parusinski and Guillaume Rond},
journal= {arXiv preprint arXiv:1401.5771},
year = {2014}
}
Comments
16 pages