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• W3043196237 endingPage "153" @default.
• W3043196237 startingPage "112" @default.
• W3043196237 abstract "We employ the perverse vanishing cycles to show that each reduced cohomology group of the Milnor fiber, except the top two, can be computed from the restriction of the vanishing cycle complex to only singular strata with a certain lower bound in dimension. Guided by geometric results, we alternately use the nearby and vanishing cycle functors to derive information about the Milnor fiber cohomology via iterated slicing by generic hyperplanes. These lead to the description of the reduced cohomology groups, except the top two, in terms of the vanishing cohomology of the nearby section. We use it to compute explicitly the lowest (possibly nontrivial) vanishing cohomology group of the Milnor fiber." @default.
• W3043196237 created "2020-07-23" @default.
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• W3043196237 date "2022-04-07" @default.
• W3043196237 modified "2023-09-27" @default.
• W3043196237 title "The vanishing cohomology of non‐isolated hypersurface singularities" @default.
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• W3043196237 doi "https://doi.org/10.1112/jlms.12570" @default.
• W3043196237 hasPublicationYear "2022" @default.
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