The Poincaré lemma for a variation of polarized Hodge structure

DOI10.3792/pjaa.61.164zbMath0576.14010OpenAlexW4243639530WikidataQ124795924 ScholiaQ124795924MaRDI QIDQ1065082

Takahiro Kawai, Masaki Kashiwara

Publication date: 1985

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.61.164

zbMATH Keywords

\(L^ 2\)-cohomology groupintersection cohomology groupvariation of polarized Hodge structure

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25) (Co)homology theory in algebraic geometry (14F99)

Related Items (4)

\(L^ 2\) and intersection cohomologies for a polarizable variation of Hodge structure ⋮ A study of variation of mixed Hodge structure ⋮ Hodge structure and holonomic systems ⋮ Classification of horizontal s

Cites Work

• Unnamed Item
• The asymptotic behavior of a variation of polarized Hodge structure
• Hodge theory with degenerating coefficients: \(L_2\) cohomology in the Poincaré metric

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