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gmvh
gmvh
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reference Reference request: good reduction equivalent to crystalline etaleétale cohomology

Suppose $X$ is an abelian variety over a $p$-adic field $K$, and it's well known that $X$ has good reduction is equivalent to the etaleétale cohomology of $X$ is crystalline, and $X$ has semistable reduction equivalent to semistable etaleétale cohomology. I wonder is there a good reference (with proof) for these two things?

reference request: good reduction equivalent to crystalline etale cohomology

Suppose $X$ is an abelian variety over a $p$-adic field $K$, and it's well known that $X$ has good reduction is equivalent to the etale cohomology of $X$ is crystalline, and $X$ has semistable reduction equivalent to semistable etale cohomology. I wonder is there a good reference (with proof) for these two things?

Reference request: good reduction equivalent to crystalline étale cohomology

Suppose $X$ is an abelian variety over a $p$-adic field $K$, and it's well known that $X$ has good reduction is equivalent to the étale cohomology of $X$ is crystalline, and $X$ has semistable reduction equivalent to semistable étale cohomology. I wonder is there a good reference (with proof) for these two things?

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David Roberts ♦
David Roberts ♦
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Richard
Richard
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reference request: good reduction equivalent to crystalline etale cohomology

Suppose $X$ is an abelian variety over a $p$-adic field $K$, and it's well known that $X$ has good reduction is equivalent to the etale cohomology of $X$ is crystalline, and $X$ has semistable reduction equivalent to semistable etale cohomology. I wonder is there a good reference (with proof) for these two things?