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On the p-adic local invariant cycle theorem

Wu, Yi-Tao



Abstract

For a proper, flat, generically smooth scheme X over a complete discrete valuation ring with finite residue field of characteristic p, we construct a specialization morphism from the rigid cohomology of the geometric special fibre to D-cris of the p-adic etale cohomology of the geometric generic fibre, and we make a conjecture ("p-adic local invariant cycle theorem") that describes the behavior ...

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