Finiteness of crystalline cohomology of higher level

DOI10.5802/AIF.2949zbMath1350.14020arXiv1104.3299OpenAlexW2963806813MaRDI QIDQ746898

Kazuaki Miyatani

Publication date: 21 October 2015

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.3299

zbMATH Keywords

Poincaré lemmacrystalline cohomology of higher levelPD structure of higher level

Mathematics Subject Classification ID

(p)-adic cohomology, crystalline cohomology (14F30)

Related Items (3)

Prismatic and \(q\)-crystalline sites of higher level ⋮ On logarithmic nonabelian Hodge theory of higher level in characteristic \(p\) ⋮ Logarithmic exact crystalline Poincaré lemma of higher level modulo \(p\)

Cites Work

• Transversal crystals of finite level
• Cohomologie cristalline des schemas de caractéristique \(p >0\)
• Notes on Crystalline Cohomology. (MN-21)
• ${\cal D}$-modules arithmétiques. II: Descente par Frobenius
• ${\scr D}$-modules arithmétiques. I. Opérateurs différentiels de niveau fini
• The exact Poincaré lemma in crystalline cohomology of higher level

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