A geometric construction of semistable extensions of crystalline representations

DOI10.2140/tunis.2021.3.207zbMath1474.14034OpenAlexW3111027210MaRDI QIDQ2026758

Martin C. Olsson

Publication date: 20 May 2021

Published in: Tunisian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/tunis.2021.3.207

zbMATH Keywords

\(p\)-adic Hodge theory

Mathematics Subject Classification ID

Local ground fields in algebraic geometry (14G20) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) (p)-adic cohomology, crystalline cohomology (14F30)

Cites Work

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• \(F\)-isocrystals and homotopy types
• A \(p\)-adic nonabelian criterion for good reduction of curves
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• Semistable sheaves and comparison isomorphisms in the semistable case
• Affine stacks
• Schémas en groupes. I: Propriétés générales des schémas en groupes. Exposés I à VIIb. Séminaire de Géométrie Algébrique 1962/64, dirigé par Michel Demazure et Alexander Grothendieck. Revised reprint
• Towards non–abelian 𝑝–adic Hodge theory in the good reduction case
• Schematic homotopy types and non-abelian Hodge theory
• Notes on Crystalline Cohomology. (MN-21)
• Relative log convergent cohomology and relative rigid cohomology II

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