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arXiv · 1911.03469

Control by the lowest degree vanishing cycles

David B. Massey
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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.

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David B. Massey. 2019-11-08. Control by the lowest degree vanishing cycles. https://arxiv.org/abs/1911.03469

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