Local topological algebraicity with algebraic coefficients of analytic sets or functions

Rond, Guillaume

doi:10.2140/ant.2018.12.1215

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Local topological algebraicity with algebraic coefficients of analytic sets or functions

Guillaume Rond

Vol. 12 (2018), No. 5, 1215–1231

DOI: 10.2140/ant.2018.12.1215

Abstract

We prove that any complex or real analytic set or function germ is topologically equivalent to a germ defined by polynomial equations whose coefficients are algebraic numbers.

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Keywords

local topological type, local algebraicity

Mathematical Subject Classification 2010

Primary: 32S05

Secondary: 11G35, 13F25, 14B07, 32A05, 32B10, 32S15

Milestones

Received: 9 June 2017

Revised: 3 October 2017

Accepted: 20 January 2018

Published: 31 July 2018

Authors

Guillaume Rond
Aix-Marseille Université CNRS Marseille France

Vol. 12, No. 5, 2018