Vanishing cycle control by the lowest degree stalk cohomology

Massey, David

doi:10.1090/bproc/93

Vanishing cycle control by the lowest degree stalk cohomology
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Proc. Amer. Math. Soc. Ser. B 9 (2022), 266-271

Abstract:

Given the germ of an analytic function on affine space with a smooth critical locus, we prove that the constancy of the reduced cohomology of the Milnor fiber in lowest possible non-trivial degree off a codimension two subset of the critical locus implies that the vanishing cycles are concentrated in lowest degree and are constant.

References

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