On the topology of non-isolated real singularities
Algebraic Geometry
2019-01-21 v1 Geometric Topology
Abstract
Khimshiashvili proved a topological degree formula for the Eu-ler characteristic of the Milnor fibres of a real function-germ with an isolated singularity. We give two generalizations of this result for non-isolated singularities. As corollaries we obtain an algebraic formula for the Euler characteristic of the fibres of a real weighted-homogeneous polynomial and a real version of the L{\^e}-Iomdine formula. We have also included some results of the same flavor on the local topology of locally closed definable sets.
Keywords
Cite
@article{arxiv.1901.06161,
title = {On the topology of non-isolated real singularities},
author = {Nicolas Dutertre},
journal= {arXiv preprint arXiv:1901.06161},
year = {2019}
}