Local topological algebraicity of analytic function germs | Zendy

Marcin Bilski | Zendy; Adam Parusiński | Zendy; Guillaume Rond | Zendy

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Local topological algebraicity of analytic function germs

Author(s) -

Marcin Bilski,

Adam Parusiński,

Guillaume Rond

Publication year - 2016

Publication title -

journal of algebraic geometry

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.824

H-Index - 50

eISSN - 1534-7486

pISSN - 1056-3911

DOI - 10.1090/jag/667

Subject(s) - germ , mathematics , algebraic number , polynomial , analytic function , affine transformation , function (biology) , set (abstract data type) , pure mathematics , space (punctuation) , topology (electrical circuits) , discrete mathematics , combinatorics , computer science , mathematical analysis , biology , evolutionary biology , programming language , operating system

International audienceT. 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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