Local topological algebraicity of analytic function germs

Published 22 Jan 2014 in math.AG, math.AC, and math.CV | (1401.5771v1)

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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