Skoda division theorem on compact Kähler manifolds for line bundles with singular hermitian metrics

Abstract

We prove a Skoda division theorem on a compact Kähler manifold for holomorphic sections of line bundles with singular hermitian metrics. As a corollary, we prove a Siu-type division theorem on compact Kähler manifolds for holomorphic line bundles endowed with singular hermitian metrics.

20 pages, Minor formatting corrections