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2018-02-22  12:14 hrs.

Local topological algebraicity of analytic function germs

Adam Parusinski
Université Nice Sophia Antipolis


T. Mostowski proved that every (real or complex) germ of an analytic set is homeomorphic to the germ of an algebraic set. 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. The main tools are: Artin approximation and Zariski equisingularity. (This is a joint work with Marcin Bilski and Guillaume Rond)




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