Degenerations of Calabi–Yau threefolds and BCOV invariants

DOI10.1142/S0129167X15400108zbMath1346.14106arXiv1409.0127OpenAlexW2964204364MaRDI QIDQ5256453

Ken-Ichi Yoshikawa

Publication date: 17 June 2015

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

Full work available at URL: https://arxiv.org/abs/1409.0127

zbMATH Keywords

Calabi-Yau threefoldsanalytic torsionBCOV invariants

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) (3)-folds (14J30) Determinants and determinant bundles, analytic torsion (58J52) Mirror symmetry (algebro-geometric aspects) (14J33)

Related Items

$K3$ surfaces with involution and analytic torsion ⋮ BCOV invariants of Calabi-Yau manifolds and degenerations of Hodge structures ⋮ BCOV torsion and degenerations of Calabi-Yau manifolds ⋮ Boundary asymptotics of the relative Bergman kernel metric for curves

Cites Work

• Gauss-Bonnet-Chern theorem on moduli space
• Holomorphic anomalies in topological field theories
• Toroidal embeddings. I
• On the singularity of Quillen metrics
• Determinants of Cauchy-Riemann operators on a Riemann surface
• Complex immersions and Quillen metrics
• Limits of Hodge structures
• Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes
• Variation of Hodge structure: The singularities of the period mapping
• Analytic torsion for complex manifolds
• Topics in Transcendental Algebraic Geometry. (AM-106)
• WEILPETERSSON GEOMETRY ON MODULI SPACE OF POLARIZED CALABIYAU MANIFOLDS
• Generalized Hodge metrics and BCOV torsion on Calabi-Yau moduli
• On the Hodge metric of the universal deformation space of Calabi-Yau threefolds