Some refinements of the Deligne-Illusie theorem

DOI10.2140/ant.2023.17.465OpenAlexW4360838579MaRDI QIDQ2691619

Junecue Suh, Piotr Achinger

Publication date: 29 March 2023

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.09857

zbMATH Keywords

de Rham cohomologyKoszul complex\(F\)-splittingconjugate spectral sequenceDeligne-Illusielifting modulo \(p^2\)

Mathematics Subject Classification ID

de Rham cohomology and algebraic geometry (14F40) Positive characteristic ground fields in algebraic geometry (14G17)

Related Items

On endomorphisms of the de Rham cohomology functor

Cites Work

• Unnamed Item
• Unnamed Item
• Frobenius splitting and cohomology vanishing for Schubert varieties
• Relèvements modulo \(p^ 2\) et décomposition du complexe de de Rham. (Lifting modulo \(p^ 2\) and decomposition of the de Rham complex)
• Logarithmic embeddings of varieties with normal crossings and mixed Hodge structures
• On the conductor formula of Bloch
• Bogomolov's inequality for Higgs sheaves in positive characteristic
• Monodromy and log geometry
• Nilpotent connections and the monodromy theorem: Applications of a result of Turrittin
• Complexe cotangent et déformations. I. (The cotangent complex and deformations. I.)
• Complexe cotangent et déformations. II
• Logarithmic structures of Fontaine-Illusie. II
• Higher Topos Theory (AM-170)