Mixed Hodge structures on log deformations

zbMath1167.14301MaRDI QIDQ2504913

Taro Fujisawa, Chikara Nakayama

Publication date: 28 September 2006

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/108617

Mathematics Subject Classification ID

Variation of Hodge structures (algebro-geometric aspects) (14D07) Formal methods and deformations in algebraic geometry (14D15)

Related Items (8)

Signs in weight spectral sequences, monodromy-weight conjectures, log Hodge symmetry and degeneration of surfaces ⋮ Degenerations of log Hodge de Rham spectral sequences, log Kodaira vanishing theorem in characteristic \(p>0\) and log weak Lefschetz conjecture for log crystalline cohomologies ⋮ Examples of non-Kähler Calabi-Yau 3-folds with arbitrarily large \(b_2\) ⋮ Limiting mixed Hodge structures on the relative log de Rham cohomology groups of a projective semistable log smooth degeneration ⋮ Analytic Log Picard Varieties ⋮ Mixed Hodge structures on log smooth degenerations ⋮ Polarizations on limiting mixed Hodge structures ⋮ On log motives

Cites Work

• Unnamed Item
• Unnamed Item
• Variation of mixed Hodge structure. I
• Über die lokale Zetafunktion von Shimuravarietaeten. Monodromiefiltration und verschwindende Zyklen in ungleicher Charakteristik
• Limits of Hodge structures
• On log Hodge structures of higher direct images
• 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 \(\mathbb{C}\)
• Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
• Théorie de Hodge. III
• Equations différentielles à points singuliers réguliers
• Logarithmic structures of Fontaine-Illusie. II
• Degeneration of l -adic weight spectral sequences
• Recovery of vanishing cycles by log geometry

This page was built for publication: Mixed Hodge structures on log deformations