Full faithfulness for overconvergent F-de Rham–Witt connections
نویسندگان
چکیده
منابع مشابه
Overconvergent De Rham-witt Cohomology
The goal of this work is to construct, for a smooth variety X over a perfect field k of finite characteristic, an overconvergent de Rham-Witt complex W ΩX/k as a suitable subcomplex of the de RhamWitt complex of Deligne-Illusie. This complex, which is functorial in X, is a complex of étale sheaves and a differential graded algebra over the ring W (OX) of overconvergent Witt-vectors. If X is aff...
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Let X be a smooth affine curve over a field k of characteristic p > 0 and E an overconvergent F a-isocrystal on X for some positive integer a. We prove that after replacing k by some finite purely inseparable extension, there exists a finite separable morphism X ′ → X, the pullback of E along which extends to a log-F a-isocrystal on a smooth compactification of X . This resolves a weak form of ...
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ژورنال
عنوان ژورنال: Comptes Rendus Mathematique
سال: 2016
ISSN: 1631-073X
DOI: 10.1016/j.crma.2016.04.004