Control by the lowest degree vanishing cycles
Algebraic Geometry
2019-11-12 v1
Abstract
Given the germ of an analytic function on affine space with a smooth critical locus, we prove that the constancy of the stalk cohomology of the Milnor fiber in lowest degree off a codimension two subset of the critical locus implies that the vanishing cycles are concentrated in lowest degree and are constant.
Cite
@article{arxiv.1911.03469,
title = {Control by the lowest degree vanishing cycles},
author = {David B. Massey},
journal= {arXiv preprint arXiv:1911.03469},
year = {2019}
}
Comments
6 pages. arXiv admin note: text overlap with arXiv:math/0504380