Morphisms of \(F\)-isocrystals and the finite monodromy theorem for unit-root \(F\)-isocrystals.
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Publication:1847898
DOI10.1215/S0012-7094-02-11131-4zbMath1055.14022OpenAlexW2062264247MaRDI QIDQ1847898
Publication date: 27 October 2002
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1215/s0012-7094-02-11131-4
Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Varieties over finite and local fields (11G25) (p)-adic cohomology, crystalline cohomology (14F30)
Related Items (29)
Notes on isocrystals ⋮ Descente étale des F-isocristaux surconvergents et rationalité des fonctions L de schémas abéliens ⋮ On the compability of the Frobenius isomorphism with relative duality ⋮ The \(p\)-adic monodromy group of abelian varieties over global function fields of characteristic \(p\) ⋮ Survey on some aspects of Lefschetz theorems in algebraic geometry ⋮ Langlands correspondence for isocrystals and the existence of crystalline companions for curves ⋮ La surcohérence entraîne l'holonomie ⋮ Parabolicity conjecture of \(F\)-isocrystals ⋮ Langlands program for \(p\)-adic coefficients and the petits camarades conjecture ⋮ Minimal slope conjecture of \(F\)-isocrystals ⋮ Devissage of the \(F\)-complexes of arithmetic \(\mathcal D\)-modules in overconvergent \(F\)-isocrystals ⋮ Overholonomicity of overconvergent \(F\)-isocrystals over smooth varieties ⋮ Differential coherence of unit-root \(F\)-isocrystals ⋮ Comparing the sheaves of overconvergent isocrystals ⋮ Purity for overconvergence ⋮ Over convergent \(F\)-isocrystals and differential overcoherence ⋮ Full faithfulness without Frobenius structure and partially overconvergent isocrystals ⋮ Holonomy of arithmetic \(\mathcal D\)-modules associated with overconvergent \(F\)-isocrystals over smooth curves ⋮ Cut-by-curves criterion for the overconvergence of \(p\)-adic differential equations ⋮ Finiteness of rigid cohomology with coefficients ⋮ Swan conductors for p-adic differential modules. II Global variation ⋮ Semistable reduction for overconvergentF-isocrystals, III: Local semistable reduction at monomial valuations ⋮ Product formula forp-adic epsilon factors ⋮ Symmetric power $L$-functions for families of generalized Kloosterman sums ⋮ Convergence Polygons for Connections on Nonarchimedean Curves ⋮ $\mathcal{D}$-modules arithmétiques associés aux isocristaux surconvergents. Cas lisse ⋮ Log-isocristaux surconvergents et holonomie ⋮ The monodromy groups of lisse sheaves and overconvergent \(F\)-isocrystals ⋮ On stability of \(\mathcal{D}\)-modules under tensor product of complex
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