Intersection de Rham complexes in positive characteristic

DOI10.4310/jdg/1717772421MaRDI QIDQ6562497

Mao Sheng, Zebao Zhang

Publication date: 26 June 2024

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Mathematics Subject Classification ID

de Rham theory in global analysis (58A12) de Rham cohomology and algebraic geometry (14F40) Intersection homology and cohomology in algebraic topology (55N33) Algebraic geometry (14-XX)

Cites Work

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• Semi-stable reduction and decomposition of de Rham complexes with coefficients
• Nonabelian Hodge theory in characteristic \(p\)
• \(L^ 2\) and intersection cohomologies for a polarizable variation of Hodge structure
• The Poincaré lemma for variations of polarized Hodge structure
• Hodge structure and holonomic systems
• Relèvements modulo \(p^ 2\) et décomposition du complexe de de Rham. (Lifting modulo \(p^ 2\) and decomposition of the de Rham complex)
• Hodge theory with degenerating coefficients: \(L_2\) cohomology in the Poincaré metric
• Higgs bundles and local systems
• Limits of Hodge structures
• Variation of Hodge structure: The singularities of the period mapping
• Uniformization of \(p\)-adic curves via Higgs-de Rham flows
• Semistable Higgs bundles, periodic Higgs bundles and representations of algebraic fundamental groups
• Kodaira-Saito vanishing via Higgs bundles in positive characteristic
• Nonabelian Hodge theory in positive characteristic via exponential twisting
• -ADIC HODGE THEORY FOR RIGID-ANALYTIC VARIETIES
• Construction de représentations $p$-adiques
• Logarithmic structures of Fontaine-Illusie. II
• Higgs cohomology, p-curvature, and the Cartier isomorphism
• A note on the characteristic p nonabelian Hodge theory in the geometric case
• Mixed Hodge modules

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