Remarks on BCOV invariants and degenerations of Calabi-Yau manifolds
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Publication:1729941
DOI10.1007/s11425-016-9241-9zbMath1409.14071arXiv1801.06281OpenAlexW2964317288MaRDI QIDQ1729941
Publication date: 7 March 2019
Published in: Science China. Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.06281
Riemann-Roch theorems (14C40) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Relationships between surfaces, higher-dimensional varieties, and physics (14J81) Fibrations, degenerations in algebraic geometry (14D06) Variation of Hodge structures (algebro-geometric aspects) (14D07) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)
Related Items
BCOV invariants of Calabi-Yau manifolds and degenerations of Hodge structures, BCOV torsion and degenerations of Calabi-Yau manifolds
Cites Work
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- Triviality of fibered Calabi-Yau manifolds without singular fibers
- Holomorphic anomalies in topological field theories
- Determinant fiber bundles, Quillen metric and degeneracy of curves.
- Analytic torsion for Calabi-Yau threefolds
- Analytic torsion and holomorphic determinant bundles. I: Bott-Chern forms and analytic torsion. II: Direct images and Bott-Chern forms. III: Quillen metrics on holomorphic determinants
- Analytic torsion and R-torsion of Riemannian manifolds
- Analytic torsion and the heat equation
- The Weil-Petersson geometry of the moduli space of SU(n\(\geq 3)\) (Calabi- Yau) manifolds. I
- Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes
- Algebraic geometry. III. Complex algebraic varieties, algebraic curves and their Jacobians. Transl. from the Russian by I. Rivin
- Variation of Hodge structure: The singularities of the period mapping
- Curvature properties of the Calabi-Yau moduli
- Degeneration of Hodge structures
- Locally homogeneous complex manifolds
- R-torsion and the Laplacian on Riemannian manifolds
- Analytic torsion for complex manifolds
- Topics in Transcendental Algebraic Geometry. (AM-106)
- Numerical bounds for semi-stable families of curves or of certain higher-dimensional manifolds
- A General Schwarz Lemma for Kahler Manifolds
- On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
- Singularities of metrics on Hodge bundles and their topological invariants
- A bound on the Euler number for certain Calabi-Yau 3-folds.
- On the Picard-Lefschetz Transformation for Algebraic Manifolds Acquiring General Singularities
- WEILPETERSSON GEOMETRY ON MODULI SPACE OF POLARIZED CALABIYAU MANIFOLDS
- Remarks on the geometry of moduli spaces
- Analytic Torsion for Borcea–Voisin Threefolds
- Periods of Integrals on Algebraic Manifolds, II: (Local Study of the Period Mapping)
- Generalized Hodge metrics and BCOV torsion on Calabi-Yau moduli
- On the Hodge metric of the universal deformation space of Calabi-Yau threefolds
- Geometric height inequalities
