Curvature formula for direct images of twisted relative canonical bundles endowed with a singular metric

Abstract : In this note, we obtain various formulas for the curvature of the L^2 metric on the direct image of the relative canonical bundle twisted by a holomorphic line bundle endowed with a positively curved metric with analytic singularities, generalizing some of Berndtsson's seminal results in the smooth case. When the twist is assumed to be relatively big, we further provide a very explicit lower bound for the curvature of the L^2 metric.
Document type :
Preprints, Working Papers, ...
Domain :

https://hal.archives-ouvertes.fr/hal-03132109
Contributor : Henri Guenancia <>
Submitted on : Thursday, February 4, 2021 - 6:16:48 PM
Last modification on : Tuesday, February 9, 2021 - 3:29:09 AM

File

bob_arxiv.pdf
Files produced by the author(s)

Identifiers

• HAL Id : hal-03132109, version 1

Citation

Junyan Cao, Henri Guenancia, Mihai Păun. Curvature formula for direct images of twisted relative canonical bundles endowed with a singular metric. 2021. ⟨hal-03132109⟩

Record views