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arXiv · 1805.04974

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

Veronika Ertl·Kazuki Yamada
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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 Nekov\'a\v{r}-Nizio{\l}'s crystalline syntomic cohomology of the generic fibre. The main ingredients are a modification of Gro{\ss}e-Kl\"onne's rigid Hyodo-Kato theory and a generalisation of it for strictly semistable log schemes with boundary.

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Veronika Ertl, Kazuki Yamada. 2018-05-14. Comparison between rigid syntomic and crystalline syntomic cohomology for strictly semistable log schemes with boundary. https://arxiv.org/abs/1805.04974

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