Wu, Yi-Tao (2017) On the p-adic local invariant cycle theorem. MATHEMATISCHE ZEITSCHRIFT, 285 (3-4). pp. 1125-1139. ISSN 0025-5874, 1432-1823
Full text not available from this repository. (Request a copy)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 of this map for regular X, analogous to the situation in l-adic etale cohomology for l not equal p. Our main result is that, if X has semistable reduction, this specialization map induces an isomorphism on the slope [0, 1)-part.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | HYODO-KATO COHOMOLOGY; DE-RHAM COHOMOLOGY; RIGID COHOMOLOGY; VARIETIES; p-adic cohomology; Specialization map; Slope filtration; Trace morphism |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 14 Dec 2018 13:11 |
| Last Modified: | 18 Feb 2019 14:26 |
| URI: | https://pred.uni-regensburg.de/id/eprint/1165 |
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