Slopes of indecomposable \(F\)-isocrystals

DOI10.4310/PAMQ.2017.v13.n1.a5zbMath1431.11069arXiv1604.00660OpenAlexW2963148844MaRDI QIDQ1799526

Vladimir Drinfeld, Kiran S. Kedlaya

Publication date: 19 October 2018

Published in: Pure and Applied Mathematics Quarterly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.00660

zbMATH Keywords

Newton polygonFrobeniuslocal systemslope\(F\)-isocrystalhypergeometric sheaf

Mathematics Subject Classification ID

Finite ground fields in algebraic geometry (14G15) Galois representations (11F80) Representation-theoretic methods; automorphic representations over local and global fields (11F70) (p)-adic cohomology, crystalline cohomology (14F30)

Related Items (11)

Notes on isocrystals ⋮ Companions on Artin stacks ⋮ The monodromy of unit-root F-isocrystals with geometric origin ⋮ The \(p\)-adic monodromy group of abelian varieties over global function fields of characteristic \(p\) ⋮ Rank 2 local systems and abelian varieties II ⋮ Parabolicity conjecture of \(F\)-isocrystals ⋮ Drinfeld's lemma for F-isocrystals, II: Tannakian approach ⋮ On the pro-semisimple completion of the fundamental group of a smooth variety over a finite field ⋮ Rank 2 local systems and abelian varieties ⋮ The monodromy groups of lisse sheaves and overconvergent \(F\)-isocrystals ⋮ Bessel \(F\)-isocrystals for reductive groups

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