The exact Poincaré lemma in crystalline cohomology of higher level

DOI10.1006/jabr.2001.8749zbMath1064.14015OpenAlexW2070223886WikidataQ124819371 ScholiaQ124819371MaRDI QIDQ5939567

Adolfo Quirós, Bernard Le Stum

Publication date: 2001

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.2001.8749

Mathematics Subject Classification ID

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

Related Items (4)

Prismatic and \(q\)-crystalline sites of higher level ⋮ Logarithmic exact crystalline Poincaré lemma of higher level modulo \(p\) ⋮ The Filtered Poincaré Lemma in Higher Level (With Applications to Algebraic Groups) ⋮ Finiteness of crystalline cohomology of higher level

Cites Work

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• Transversal crystals of finite level
• Cohomologie cristalline des schemas de caractéristique \(p >0\)
• Unity of the \(L\)-function of a Barsotti-Tate group
• \(L\) functions associated to overconvergent \(F\)-isocrystals. II: Unit roots and poles
• Notes on Crystalline Cohomology. (MN-21)
• ${\scr D}$-modules arithmétiques. I. Opérateurs différentiels de niveau fini

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