Around the Poincaré lemma, after Beilinson

DOI10.1007/s40306-015-0139-7zbMath1331.14025OpenAlexW560893602WikidataQ124819504 ScholiaQ124819504MaRDI QIDQ2355856

Luc Illusie

Publication date: 28 July 2015

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40306-015-0139-7

zbMATH Keywords

de Rham cohomologyalterationcotangent complexGrothendieck topologylog scheme\(p\)-adic étale cohomologyFontaine's ringssemi-stable morphism

Mathematics Subject Classification ID

Picard schemes, higher Jacobians (14K30) Étale and other Grothendieck topologies and (co)homologies (14F20) de Rham cohomology and algebraic geometry (14F40) Varieties over finite and local fields (11G25) (p)-adic cohomology, crystalline cohomology (14F30)

Cites Work

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• \(p\)-adic Hodge theory for open varieties
• Hodge cycles, motives, and Shimura varieties
• Formes différentielles et modules de Tate des variétés abéliennes sur les corps locaux. (Différential forms and Tate modules of abelian varieties over local fields)
• \(p\)-adic étale cohomology and crystalline cohomology in the semi-stable reduction case
• Smoothness, semi-stability and alterations
• On the crystalline period map
• Semistable conjecture via \(K\)-theory
• Théorie de Hodge. II. (Hodge theory. II)
• Complexe cotangent et déformations. I. (The cotangent complex and deformations. I.)
• Théorie de Hodge. III
• Complexe cotangent et déformations. II
• The logarithmic cotangent complex
• $p$-adic periods and derived de Rham cohomology
• Logarithmic structures of Fontaine-Illusie. II
• Gersten's conjecture and the homology of schemes
• Stable modification of relative curves
• On the De Rham cohomology of algebraic varieties

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