A Simpson correspondence in positive characteristic

DOI10.2977/PRIMS/1zbMath1200.14036arXiv0811.1168OpenAlexW2059717379MaRDI QIDQ963067

Adolfo Quirós, Michel Gros, Bernard Le Stum

Publication date: 8 April 2010

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.1168

zbMATH Keywords

Higgs fieldconnectionFrobenius\(p\)-curvature\(D\)-module

Mathematics Subject Classification ID

de Rham cohomology and algebraic geometry (14F40) (p)-adic cohomology, crystalline cohomology (14F30)

Related Items (4)

Twisted divided powers and applications ⋮ On log local Cartier transform of higher level in characteristic \(p\) ⋮ Sur une q-déformation locale de la théorie de Hodge non-abélienne en caractéristique positive ⋮ Une Neutralisation Explicite de L'algèbre de Weyl Quantique Complétée

Cites Work

• Localization of modules for a semisimple Lie algebra in prime characteristic (with an appendix by R. Bezrukavnikov and S. Riche, Computation for \(\text{sl}(3))\)
• Notes on Crystalline Cohomology. (MN-21)
• ${\cal D}$-modules arithmétiques. II: Descente par Frobenius
• ${\scr D}$-modules arithmétiques. I. Opérateurs différentiels de niveau fini

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