Log Hodge theoretic formulation of mirror symmetry for Calabi-Yau threefolds

DOI10.1007/s10013-014-0085-zzbMath1321.14011OpenAlexW2056694330MaRDI QIDQ2254964

Sampei Usui

Publication date: 6 February 2015

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10013-014-0085-z

zbMATH Keywords

mirror symmetryCalabi-Yau threefoldlog Hodge theory

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)

Cites Work

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• Classifying spaces of degenerating mixed Hodge structures. II: Spaces of \(\text{SL}(2)\)-orbits
• Variation of Hodge structure: The singularities of the period mapping
• On the logarithmic Riemann-Hilbert correspondence
• Quantum cohomology and periods
• Néron models for admissible normal functions
• 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)
• Compactifications of moduli spaces inspired by mirror symmetry
• Periods of Integrals on Algebraic Manifolds, I. (Construction and Properties of the Modular Varieties)

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