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- W4322715876 abstract "Abstract We prove some $ell $ -independence results on local constancy of étale cohomology of rigid analytic varieties. As a result, we show that a closed subscheme of a proper scheme over an algebraically closed complete non-archimedean field has a small open neighbourhood in the analytic topology such that, for every prime number $ell $ different from the residue characteristic, the closed subscheme and the open neighbourhood have the same étale cohomology with ${mathbb Z}/ell {mathbb Z}$ -coefficients. The existence of such an open neighbourhood for each $ell $ was proved by Huber. A key ingredient in the proof is a uniform refinement of a theorem of Orgogozo on the compatibility of the nearby cycles over general bases with base change." @default.
- W4322715876 created "2023-03-03" @default.
- W4322715876 creator A5007563811 @default.
- W4322715876 date "2023-02-28" @default.
- W4322715876 modified "2023-10-18" @default.
- W4322715876 title "UNIFORM LOCAL CONSTANCY OF ÉTALE COHOMOLOGY OF RIGID ANALYTIC VARIETIES" @default.
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- W4322715876 doi "https://doi.org/10.1017/s1474748022000615" @default.
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