Variation of mixed Hodge structures arising from family of logarithmic deformations

DOI10.24033/asens.1441zbMath0516.14006OpenAlexW2603882042MaRDI QIDQ3663425

Sampei Usui

Publication date: 1983

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1983_4_16_1_91_0

zbMATH Keywords

Hodge filtrationvariation of mixed Hodge structureinfinitesimal Torelli problemrelative logarithmic De Rham complex

Mathematics Subject Classification ID

de Rham cohomology and algebraic geometry (14F40) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Formal methods and deformations in algebraic geometry (14D15)

Related Items (9)

Supplement to Variation of mixed Hodge structure arising from family of logarithmic deformations. II: Classifying space ⋮ A variational mixed Torelli theorem ⋮ Unipotent variations of mixed Hodge structure ⋮ A generalization of Griffiths's theorem on rational integrals ⋮ Linear Shafarevich conjecture ⋮ Quasi-projectivity of images of mixed period maps ⋮ Variation of mixed Hodge structure. I ⋮ Variation of mixed Hodge structure arising from family of logarithmic deformations. II: Classifying space ⋮ Variations of Hodge Structure, Legendre Submanifolds, and Accessibility

Cites Work

• Effect of automorphisms on variation of Hodge structures
• On a generalization of complete intersections
• On deformations of compactifiable complex manifolds
• A theorem of local-Torelli type
• On the differentiation of De Rham cohomology classes with respect to parameters
• Periods of integrals on algebraic manifolds. III: Some global differential-geometric properties of the period mapping
• Théorie de Hodge. II. (Hodge theory. II)
• Equations différentielles à points singuliers réguliers
• Surfaces of general type with $p_g=1$ and $(K,\,K)=1$. I
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Variation of mixed Hodge structures arising from family of logarithmic deformations