The Filtered Poincaré Lemma in Higher Level (With Applications to Algebraic Groups)

DOI10.1017/S0027763000025915zbMath1184.14032arXivmath/0409564WikidataQ124884577 ScholiaQ124884577MaRDI QIDQ3537501

Bernard Le Stum, Adolfo Quirós

Publication date: 7 November 2008

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0409564

zbMATH Keywords

group schemescrystalline cohomology of higher levelinvariant differential formsfiltered de Rham complextransversal crystals

Mathematics Subject Classification ID

de Rham cohomology and algebraic geometry (14F40) (p)-adic cohomology, crystalline cohomology (14F30) Group schemes (14L15)

Cites Work

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• Cohomologie cristalline des schemas de caractéristique \(p >0\)
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• \(L\) functions associated to overconvergent \(F\)-isocrystals. II: Unit roots and poles
• Théorie de Hodge. II. (Hodge theory. II)
• Complexe cotangent et déformations. I. (The cotangent complex and deformations. I.)
• Notes on Crystalline Cohomology. (MN-21)
• ${\scr D}$-modules arithmétiques. I. Opérateurs différentiels de niveau fini
• The exact Poincaré lemma in crystalline cohomology of higher level

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