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- Title
On the p-adic local invariant cycle theorem.
- Authors
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 étale cohomology of the geometric generic fibre, and we make a conjecture (' p-adic local invariant cycle theorem') that describes the behavior of this map for regular X, analogous to the situation in $${\ell }$$ -adic étale cohomology for $${\ell }\ne p$$ . Our main result is that, if X has semistable reduction, this specialization map induces an isomorphism on the slope [0, 1)-part.
- Publication
Mathematische Zeitschrift, 2017, Vol 285, Issue 3/4, p1125
- ISSN
0025-5874
- Publication type
Article
- DOI
10.1007/s00209-016-1741-7