The vanishing neighbourhood of non-isolated singularities
Complex Variables
2016-09-07 v3 Algebraic Geometry
Abstract
We study the vanishing neighbourhood of non-isolated singularities of functions on singular spaces by associating a general linear function. We use the carrousel monodromy in order to show how to get a better control over the attaching of thimbles. For one dimensional singularities, we prove obstructions to integer (co)homology groups and to the eigenspaces of the monodromy via monodromies of nearby sections. Our standpoint allows to find, in certain cases, the structure of the Milnor fibre up to the homotopy type.
Keywords
Cite
@article{arxiv.math/0411572,
title = {The vanishing neighbourhood of non-isolated singularities},
author = {Mihai Tibar},
journal= {arXiv preprint arXiv:math/0411572},
year = {2016}
}
Comments
10 p, 1 fig; more edits