Notes on isocrystals

DOI10.1016/j.jnt.2021.12.004zbMath1502.14051arXiv1606.01321OpenAlexW4226185600WikidataQ114156622 ScholiaQ114156622MaRDI QIDQ2127208

Kiran S. Kedlaya

Publication date: 20 April 2022

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.01321

zbMATH Keywords

crystalline cohomologyrigid cohomologyWeil cohomologyisocrystals

Mathematics Subject Classification ID

Local ground fields in algebraic geometry (14G20) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Rigid analytic geometry (14G22) (p)-adic cohomology, crystalline cohomology (14F30) (p)-adic differential equations (12H25)

Related Items (10)

The monodromy of unit-root F-isocrystals with geometric origin ⋮ Rank 2 local systems and abelian varieties II ⋮ Survey on some aspects of Lefschetz theorems in algebraic geometry ⋮ Perfect points of abelian varieties ⋮ Parabolicity conjecture of \(F\)-isocrystals ⋮ Specialization of Néron-Severi groups in positive characteristic ⋮ Slopes of \(F\)-isocrystals over abelian varieties ⋮ Drinfeld's lemma for F-isocrystals, II: Tannakian approach ⋮ Minimal slope conjecture of \(F\)-isocrystals ⋮ On the pro-semisimple completion of the fundamental group of a smooth variety over a finite field

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