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Local acyclicity in p-adic cohomology
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Lazda, Christopher (2021) Local acyclicity in p-adic cohomology. Documenta Mathematica, 26 . pp. 981-1044. doi:10.25537/dm.2021v26.981-1044 ISSN 1431-0643.
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Official URL: https://doi.org/10.25537/dm.2021v26.981-1044
Abstract
We prove an analogue for p-adic coefficients of the Deligne-Laumon theorem on local acyclicity for curves. That is, for an overconvergent F-isocrystal E on a relative curve f : U -> S admitting a good compactification, we show that the cohomology sheaves of Rf(!) E are overconvergent isocrystals if and only if E has constant Swan conductor at infinity.
| Item Type: | Journal Article | ||||||
|---|---|---|---|---|---|---|---|
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
| Journal or Publication Title: | Documenta Mathematica | ||||||
| Publisher: | Deutsche Mathematiker Vereinigung | ||||||
| ISSN: | 1431-0643 | ||||||
| Official Date: | 2021 | ||||||
| Dates: |
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| Volume: | 26 | ||||||
| Page Range: | pp. 981-1044 | ||||||
| DOI: | 10.25537/dm.2021v26.981-1044 | ||||||
| Status: | Peer Reviewed | ||||||
| Publication Status: | Published | ||||||
| Access rights to Published version: | Open Access (Creative Commons) |
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