Real Milnor Fibres and Puiseux Series
Algebraic Geometry
2014-04-15 v1
Abstract
Given a real polynomial function and a point in its zero locus, we defined a set consisting of algebraic real Puiseux series naturally attached to these data. We prove that this set determines the topology and the geometry of the real Milnor fibre of the function at this point. To achieve this goal, we balance between the tameness properties of this set of Puiseux series, considered as a real algebraic object over the field of algebraic Puiseux series, and its behaviour as an infinite dimensional object over the real numbers.
Keywords
Cite
@article{arxiv.1404.3509,
title = {Real Milnor Fibres and Puiseux Series},
author = {Goulwen Fichou and Masahiro Shiota},
journal= {arXiv preprint arXiv:1404.3509},
year = {2014}
}