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for questions about etale cohomology of schemes, including foundational material and applications.

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 …
Christian Liedtke's user avatar
13 votes

Hodge numbers of reduction mod $p$

As already pointed out, the Hodge numbers may go up under reduction modulo $p$. On the other hand, let me also point out that the situation can be controlled: 1.) For all $p$, where $\overline{X}_p$ …
Christian Liedtke's user avatar