Open Access
2018 Local topological algebraicity with algebraic coefficients of analytic sets or functions
Guillaume Rond
Algebra Number Theory 12(5): 1215-1231 (2018). 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.

Citation

Download Citation

Guillaume Rond. "Local topological algebraicity with algebraic coefficients of analytic sets or functions." Algebra Number Theory 12 (5) 1215 - 1231, 2018. https://doi.org/10.2140/ant.2018.12.1215

Information

Received: 9 June 2017; Revised: 3 October 2017; Accepted: 20 January 2018; Published: 2018
First available in Project Euclid: 14 August 2018

zbMATH: 1400.32014
MathSciNet: MR3840874
Digital Object Identifier: 10.2140/ant.2018.12.1215

Subjects:
Primary: 32S05
Secondary: 11G35 , 13F25 , 14B07 , 32A05 , 32B10 , 32S15

Keywords: local algebraicity , local topological type

Rights: Copyright © 2018 Mathematical Sciences Publishers

Vol.12 • No. 5 • 2018
MSP
Back to Top