BCOV invariant for Calabi-Yau pairs

Abstract

We construct BCOV invariant for Calabi-Yau pairs. The construction covers the classical BCOV invariant and certain equivariant BCOV invariant. The BCOV invariant obtained is expected to be well-behaved under birational equivalence.

arXiv commentThe results in this paper are included in the author's newer paper arXiv:1905.03964

References in corpus (2)

• K3 surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space IV: the structure of invariant
• Canonical metric on moduli spaces of log Calabi-Yau varieties

Cited by in corpus (1)

• An extension of BCOV invariant