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- W2181431567 abstract "Let $K$ be a complete discrete valuation field whose residue field is perfect and of positive characteristic, let $X$ be a connected, proper scheme over $mathcal{O}_K$, and let $U$ be the complement in $X$ of a divisor with simple normal crossings. Assume that the pair $(X,U)$ is strictly semi-stable over $mathcal{O}_K$ of relative dimension one and $K$ is of equal characteristic. We prove that, for any smooth $ell$-adic sheaf $mathscr{G}$ on $U$ of rank one, at most tamely ramified on the generic fiber, if the ramification of $mathscr{G}$ is bounded by $t+$ for the logarithmic upper ramification groups of Abbes-Saito at points of codimension one of $X$, then the ramification of the '{e}tale cohomology groups with compact support of $mathscr{G}$ is bounded by $t+$ in the same sense." @default.
- W2181431567 created "2016-06-24" @default.
- W2181431567 creator A5088167624 @default.
- W2181431567 date "2016-08-20" @default.
- W2181431567 modified "2023-10-18" @default.
- W2181431567 title "On the ramification of étale cohomology groups" @default.
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- W2181431567 doi "https://doi.org/10.1515/crelle-2016-0035" @default.
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