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- W3173670604 abstract "Let $phi:Xrightarrow mathbb{P}^n$ be a morphism of varieties. Given a hyperplane $H$ in $mathbb{P}^n$, there is a Gysin map from the compactly supported cohomology of $phi^{-1}(H)$ to that of $X$. We give conditions on the degree of the cohomology under which this map is an isomorphism for all but a low-dimensional set of hyperplanes, generalizing results due to Skorobogatov, Benoist, and Poonen-Slavov. Our argument is based on Beilinson's theory of singular supports for 'etale sheaves." @default.
- W3173670604 created "2021-07-05" @default.
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- W3173670604 date "2021-06-18" @default.
- W3173670604 modified "2023-09-27" @default.
- W3173670604 title "Exceptional loci in Lefschetz theory" @default.
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- W3173670604 doi "https://doi.org/10.48550/arxiv.2106.10332" @default.
- W3173670604 hasPublicationYear "2021" @default.
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