Local linear Morsifications
Algebraic Geometry
2024-10-07 v2 Complex Variables
Abstract
The number of Morse points in a Morsification determines the topology of the Milnor fibre of a holomorphic function germ with isolated singularity. If has an arbitrary singular locus, then this nice relation to the Milnor fibre disappears. We show that despite this loss, the numbers of stratified Morse singularities of a general linear Morsification are effectively computable in terms of topological invariants of .
Keywords
Cite
@article{arxiv.2307.04773,
title = {Local linear Morsifications},
author = {Mihai Tibăr},
journal= {arXiv preprint arXiv:2307.04773},
year = {2024}
}
Comments
slightly revised