On logarithmic extension of overconvergent isocrystals

DOI10.1007/S00208-010-0489-3zbMath1268.12005arXiv0806.4394OpenAlexW2153670894MaRDI QIDQ993357

Atsushi Shiho

Publication date: 10 September 2010

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.4394

zbMATH Keywords

overconvergent isocrystalcanonical extensionlogarithmic extendability

Mathematics Subject Classification ID

(p)-adic cohomology, crystalline cohomology (14F30) (p)-adic differential equations (12H25)

Related Items (6)

Good formal structures for flat meromorphic connections. III: Irregularity and turning loci ⋮ Notes on isocrystals ⋮ On \(p\)-adic differential equations on semistable varieties ⋮ Cut-by-curves criterion for the log extendability of overconvergent isocrystals ⋮ On \(p\)-adic differential equations on semistable varieties. II ⋮ Unipotent monodromy and arithmetic \({\mathcal {D}}\)-modules

Cites Work

• Formal and \(p\)-adic theory of differential systems with logarithmic singularities depending upon parameters
• On the index theorem for \(p\)-adic differential equations. II
• Rigid analytic geometry and its applications
• Die de Rham Kohomologie algebraischer Mannigfaltigkeiten über einem bewerteten Körper
• Equations différentielles à points singuliers réguliers
• Semistable reduction for overconvergentF-isocrystals, III: Local semistable reduction at monomial valuations
• An Introduction to "G"-Functions. (AM-133)
• Relative log convergent cohomology and relative rigid cohomology II
• Semistable reduction for overconvergent $F$-isocrystals I: Unipotence and logarithmic extensions
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