Vanishing cycle control by the lowest degree stalk cohomology
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- by David B. Massey HTML | PDF
- 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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Additional Information
- David B. Massey
- Affiliation: Dept. of Mathematics, Northeastern University, 360 Huntington Ave, Boston, MA 02115
- MR Author ID: 121085
- Received by editor(s): April 15, 2020
- Published electronically: May 19, 2022
- Communicated by: Alexander Braverman
- © Copyright 2022 by the author under Creative Commons Attribution-NonCommercial 3.0 License (CC BY NC 3.0)
- Journal: Proc. Amer. Math. Soc. Ser. B 9 (2022), 266-271
- MSC (2020): Primary 32S25, 32S15, 32S55
- DOI: https://doi.org/10.1090/bproc/93
- MathSciNet review: 4425277