منابع مشابه
Semistable 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 ...
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 ...
متن کاملMorphisms 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.
متن کاملF–isocrystals and Homotopy Types (f–isocristaux Et Types D’homotopie)
We study a positive characteristic analog of the nonabelian Hodge structure constructed by Katzarkov, Pantev, and Toen on the homotopy type of a complex algebraic variety. Given a proper smooth scheme X over a perfect field of characteristic p and a Tannakian category C of isocrystals on X, we construct an object XC in a suitable homotopy category of simplicial presheaves whose category of loca...
متن کاملOverholonomicity of overconvergent F-isocrystals over smooth varieties
We prove the overholonomicity of overconvergent F-isocrystals over smooth varieties. This implies that the notions of overholonomicity and devissability in overconvergent F-isocrystals are equivalent. Then the overholonomicity is stable under tensor products. So, the overholonomicity gives a p-adic cohomology stable under Grothendieck’s cohomological operations.
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ژورنال
عنوان ژورنال: Acta Mathematica
سال: 2020
ISSN: 0001-5962,1871-2509
DOI: 10.4310/acta.2020.v225.n1.a2