Vol. 12, No. 5, 2018

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Local topological algebraicity with algebraic coefficients of analytic sets or functions

Guillaume Rond

Vol. 12 (2018), No. 5, 1215–1231
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