On the Hodge metric of the universal deformation space of Calabi-Yau threefolds

DOI10.1007/BF02921956zbMath0986.32010arXivmath/0505582MaRDI QIDQ5950191

Zhiqin Lu

Publication date: 17 June 2002

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0505582

zbMATH Keywords

Ricci curvatureuniversal deformation spaceWeil-Petersson metric

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Calabi-Yau theory (complex-analytic aspects) (32Q25) Period matrices, variation of Hodge structure; degenerations (32G20) Deformations of complex structures (32G05)

Related Items (11)

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 ⋮ Critical points and supersymmetric vacua, III: String/M models ⋮ Moduli spaces of Calabi-Yau \(d\)-folds as gravitational-chiral instantons ⋮ Gauss-Bonnet-Chern theorem on moduli space ⋮ Remarks on BCOV invariants and degenerations of Calabi-Yau manifolds ⋮ Swampland geometry and the gauge couplings ⋮ Special geometry and the swampland ⋮ Sectional curvatures of Kähler moduli ⋮ Degenerations of Calabi–Yau threefolds and BCOV invariants ⋮ On the curvature tensor of the Hodge metric of moduli space of polarized Calabi-Yau threefolds

Cites Work

• Special geometry
• Topics in Transcendental Algebraic Geometry. (AM-106)
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
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