Generalized Hodge metrics and BCOV torsion on Calabi-Yau moduli

DOI10.1515/crll.2005.2005.588.49zbMath1139.32012arXivmath/0310007OpenAlexW2962739183MaRDI QIDQ5711479

Hao Fang, Zhiqin Lu

Publication date: 6 December 2005

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0310007

Mathematics Subject Classification ID

Calabi-Yau theory (complex-analytic aspects) (32Q25) Determinants and determinant bundles, analytic torsion (58J52) Deformations of complex structures (32G05)

Related Items (16)

On the Weil-Petersson volume and the first Chern class of the moduli space of Calabi-Yau manifolds ⋮ Moduli space holography and the finiteness of flux vacua ⋮ BCOV invariant and blow-up ⋮ A lecture on holomorphic anomaly equations and extended holomorphic anomaly equations ⋮ Gauss-Bonnet-Chern theorem on moduli space ⋮ Motivic integration and birational invariance of BCOV invariants ⋮ Remarks on BCOV invariants and degenerations of Calabi-Yau manifolds ⋮ The Kähler-Ricci flow on surfaces of positive Kodaira dimension ⋮ Sectional curvatures of Kähler moduli ⋮ Extended holomorphic anomaly and loop amplitudes in open topological string ⋮ BCOV invariants of Calabi-Yau manifolds and degenerations of Hodge structures ⋮ BCOV torsion and degenerations of Calabi-Yau manifolds ⋮ Kobayashi non-hyperbolicity of Calabi-Yau manifolds via mirror symmetry ⋮ Degenerations of Calabi–Yau threefolds and BCOV invariants ⋮ The moduli space of asymptotically cylindrical Calabi-Yau manifolds ⋮ Canonical measures and Kähler-Ricci flow

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