Overconvergent unit-root $F$-isocrystals and isotriviality
نویسندگان
چکیده
منابع مشابه
Morphisms of F-isocrystals and the Finite Monodromy Theorem for Unit-root F-isocrystals
We discuss Tate-type problems for F-isocrystals, that is, the full faithfulness of the natural restriction functors between categories of overconvergent F-isocrystals on schemes of positive characteristic. We prove it in the cases of unit-root F-isocrystals. Using this result, we prove that an overconvergent unit-root F-isocrystal has a finite monodromy.
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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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Notation 1.1.2. By a k-variety, I meant a reduced (not necessarily irreducible) separated scheme of finite type over k. (It could be shown that the theory only depends on the reduced scheme structure.) Through out the talk, X will be an open subscheme of a k-variety Y and Z = X\Y is the complement with the reduced scheme structure. P will always denote a topologically finite type formal scheme ...
متن کاملSemistable Reduction of overconvergent F -isocrystals I: Isocrystals and Rigid Cohomology
Notation 1.1.2. By a k-variety, I meant a reduced (not necessarily irreducible) separated scheme of finite type over k. (It could be shown that the theory only depends on the reduced scheme structure.) Through out the talk, X will be an open subscheme of a k-variety Y and Z = X\Y is the complement with the reduced scheme structure. P will always denote a topologically finite type formal scheme ...
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ژورنال
عنوان ژورنال: Mathematical Research Letters
سال: 2017
ISSN: 1073-2780,1945-001X
DOI: 10.4310/mrl.2017.v24.n6.a7