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7 votes
2 answers
1k views

On a mysterious reference of Grothendieck

These days I found a mysterious page on Google books describing a book entitled On the De Rham cohomology of schemes by Grothendieck, Coates, and Jussila. At once I thought this was an error and ...
Emily's user avatar
  • 11.8k
8 votes
1 answer
773 views

A variant on characteristic $p$ de Rham cohomology

I was thinking about de Rham cohomology in characteristic $p$, and in particular the recent question about Poincare residues, and I came up with the following construction. Let $k$ be a perfect field ...
David E Speyer's user avatar
5 votes
1 answer
540 views

Most general "finiteness of de Rham cohomology" statement for holonomic $D$-modules in the algebraic case?

Let $X$ be a nonsingular algebraic variety over a field $k$ of characteristic zero. (We may assume $k$ algebraically closed if need be, but I want to avoid specifically demanding $k = \mathbb{C}$.) ...
Nick Switala's user avatar