Mixed Hodge structures on log smooth degenerations

DOI10.2748/tmj/1206734407zbMath1147.14004OpenAlexW2079224345MaRDI QIDQ925099

Taro Fujisawa

Publication date: 29 May 2008

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1206734407

zbMATH Keywords

mixed Hodge structurelog degeneration

Mathematics Subject Classification ID

Period matrices, variation of Hodge structure; degenerations (32G20) Variation of Hodge structures (algebro-geometric aspects) (14D07) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Mixed Hodge theory of singular varieties (complex-analytic aspects) (32S35)

Related Items

Limiting mixed Hodge structures on the relative log de Rham cohomology groups of a projective semistable log smooth degeneration

Cites Work

• Degeneration of weight spectral sequences
• Holomorphic functions of several variables. An introduction to the fundamental theory. With the assist. of Gottfried Barthel transl. by Michael Bridgland
• Limits of Hodge structures
• Logarithmic deformations of normal crossing varieties and smoothing of degenerate Calabi-Yau varieties
• Logarithmic embeddings of varieties with normal crossings and mixed Hodge structures
• log Betti cohomology, log étale cohomology, and log de Rham cohomology of log schemes over \(\mathbb{C}\)
• Mixed Hodge structures on log deformations
• Théorie de Hodge. II. (Hodge theory. II)
• Complexe cotangent et déformations. I. (The cotangent complex and deformations. I.)
• Théorie de Hodge. III
• Théorie de Hodge des cycles évanescents
• Logarithmic structures of Fontaine-Illusie. II
• Limits of Hodge structures in several variables, II
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