Canonical metric on moduli spaces of log Calabi-Yau varieties

Abstract

In this paper, by applying Greene-Shapere-Vafa-Yau semi-flat metric, we give a new proof of closed formula of Weil-Petersson metric on moduli space of Calabi-Yau varieties.

arXiv comment41 pages

References in corpus (5)

• Invariance of Plurigenera
• KAWA lecture notes on the Kähler-Ricci flow
• Families of Calabi-Yau manifolds and canonical singularities
• Canonical measures and the dynamical systems of Bergman kernels
• On the boundary behavior of the curvature of L2-metrics

Cited by in corpus (3)

• BCOV invariant for Calabi-Yau pairs
• An extension of BCOV invariant
• Relative Kähler-Einstein metric on Kähler varieties of positive Kodaira dimension