Local topological algebraicity with algebraic coefficients of analytic sets or functions
Algebraic Geometry
2018-08-08 v2 Commutative Algebra
Complex Variables
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.
Keywords
Cite
@article{arxiv.1706.05938,
title = {Local topological algebraicity with algebraic coefficients of analytic sets or functions},
author = {Guillaume Rond},
journal= {arXiv preprint arXiv:1706.05938},
year = {2018}
}
Comments
16 pages. To appear in Algebra & Number Theory