On the boundary behavior of the curvature of L2-metrics

Abstract

For one-parameter degenerations of compact Kähler manifolds, we determine the asymptotic behavior of the first Chern form of the direct image of a Nakano semi-positive vector bundle twisted by the relative canonical bundle, when the direct image is equipped with the L2-metric.

Cited by in corpus (5)

• Singularities and analytic torsion
• Canonical metric on moduli spaces of log Calabi-Yau varieties
• Special Kähler geometry and holomorphic Lagrangian fibrations
• Relative Kähler-Einstein metric on Kähler varieties of positive Kodaira dimension
• Canonical metric on a mildly singular Kähler varieties with an intermediate log Kodaira dimension