Comparison between rigid and crystalline syntomic cohomology for strictly semistable log schemes with boundary

Ertl, Veronika and Yamada, Kazuki (2021) Comparison between rigid and crystalline syntomic cohomology for strictly semistable log schemes with boundary. RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, 145. pp. 213-291. ISSN 0041-8994, 2240-2926

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Abstract

We introduce rigid syntomic cohomology for strictly semistable log schemes over a complete discrete valuation ring of mixed characteristic (0, p). In case a good compactification exists, we compare this cohomology theory to Nekovar-Niziol's crystalline syntomic cohomology of the generic fibre. The main ingredients are a modification of GroBe-Klonne's rigid Hyodo-Kato theory and a generalization of it for strictly semistable log schemes with boundary.

Item Type: Article
Uncontrolled Keywords: Syntomic cohomology; rigid cohomology; semistable reduction
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 17 Aug 2022 10:47
Last Modified: 17 Aug 2022 10:47
URI: https://pred.uni-regensburg.de/id/eprint/46579

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