Moduli of log mixed Hodge structures
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Publication:617800
DOI10.3792/pjaa.86.107zbMath1209.14008arXiv0910.4454OpenAlexW2089477717MaRDI QIDQ617800
Sampei Usui, Chikara Nakayama, Kazuya Kato
Publication date: 13 January 2011
Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0910.4454
Period matrices, variation of Hodge structure; degenerations (32G20) Variation of Hodge structures (algebro-geometric aspects) (14D07) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)
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Cites Work
- Unnamed Item
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- Complex analytic Néron models for arbitrary families of intermediate Jacobians
- Classifying spaces of degenerating mixed Hodge structures. II: Spaces of \(\text{SL}(2)\)-orbits
- Variation of mixed Hodge structure. I
- Variation of mixed Hodge structure arising from family of logarithmic deformations. II: Classifying space
- Log intermediate Jacobians
- Zero loci of admissible normal functions with torsion singularities
- A study of variation of mixed Hodge structure
- La conjecture de Weil. II
- log Betti cohomology, log étale cohomology, and log de Rham cohomology of log schemes over \(\mathbb{C}\)
- Degeneration of Hodge structures
- Classifying spaces of degenerating mixed Hodge structures, III: Spaces of nilpotent orbits
- 𝑆𝐿(2)-orbit theorem for degeneration of mixed Hodge structure
- Classifying Spaces of Degenerating Polarized Hodge Structures. (AM-169)
- Logarithmic structures of Fontaine-Illusie. II
- On the algebraicity of the zero locus of an admissible normal function
- Periods of Integrals on Algebraic Manifolds, I. (Construction and Properties of the Modular Varieties)
