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Aug 11, 2011 at 0:40 comment added Donu Arapura It's nice to (virtually) meet you Prof. Monsky.
Aug 11, 2011 at 0:26 comment added paul Monsky There are finiteness results for various "p-adic cohomologies",related to De Rham cohomology, for characteristic p varieties. I'm told that Mebkhout used some of the tools from my paper in giving a "local" proof of such finiteness theorems. I think Kedlaya is the person who can tell you about this.
Aug 10, 2011 at 22:11 comment added Donu Arapura I'm not sure how much of it works, but certainly the result in the strongest form is false in char p, e.g. $H^1_{DR}(\mathbb{A}^1)$ is infinite dimensional!
Aug 10, 2011 at 21:40 comment added anon Do any of these papers work in characteristic p? can we use alterations instead of resolution for instance?
Aug 10, 2011 at 20:35 history answered Donu Arapura CC BY-SA 3.0