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arxiv: 1904.09272 · v1 · pith:KODT5A67new · submitted 2019-04-19 · 🧮 math.AG

The Monsky--Washnitzer topos

classification 🧮 math.AG
keywords cohomologymonsky--washnitzeralgebrasanalyticcertaincharcomparisonconstruction
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Mimicking Ogus's construction, we define a site, for varieties over a field of char. p > 0, using Monsky--Washnitzer algebras/weak formal schemes. We prove a comparison theorem between the MW cohomology and a certain analytic cohomology.

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