Logarithmic embeddings of varieties with normal crossings and mixed Hodge structures

DOI10.1007/BF01446621zbMath0814.14010OpenAlexW2078935957MaRDI QIDQ1345935

J. H. M. Steenbrink

Publication date: 20 June 1995

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165283

zbMATH Keywords

mixed Hodge structureslogarithmic deformationlogarithmic de Rham complexhypercohomology groupslogarithmic embeddings

Mathematics Subject Classification ID

Variation of Hodge structures (algebro-geometric aspects) (14D07) Embeddings in algebraic geometry (14E25) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) (Co)homology theory in algebraic geometry (14F99)

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Cites Work

• Modules de Hodge polarisables. (Polarisable Hodge modules)
• Mixed Hodges structures on punctured neighborhoods
• Global smoothings of varieties with normal crossings
• Logarithmic deformations of normal crossing varieties and smoothing of degenerate Calabi-Yau varieties
• Théorie de Hodge. II. (Hodge theory. II)
• Complexe cotangent et déformations. I. (The cotangent complex and deformations. I.)
• Logarithmic structures of Fontaine-Illusie. II
• Mixed Hodge Structures