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Fields of characteristic $p$, i.e., fields for which there is a prime $p$ such that $px=0$ for each $x$. Do not use this tag for questions on characteristic polynomials of a matrix.
5
votes
Simplest example of jumping of cohomology of structure sheaf in smooth families?
By the way, for Enriques this more than just an example - it reflects their classification: the moduli space of Enriques surfaces is connected in any characteristic. All such surfaces arise as desingu …
9
votes
How do non-trivial global differentials give non-trivial cohomology classes in positive char...
Although Felipe answered your question, let me come back to David's wish, and give an answer using and advocating crystalline cohomology:
First, if $X$ is, say, smooth and proper over a field $k$, t …