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In "F-isocrystals on open varieties results and conjectures" Faltings says:

"Finally, we extend the theory of weights and show as much as possible of the crystalline analogue of the Weil conjectures."

My questions are:

What is the current state of the crystalline analogue of the Weil conjectures?

Which are the articles and books about these conjectures?

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1 Answer 1

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As far as I can tell, Kedlaya solved it 12 years ago.

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