Equidistribution on Big Line Bundles with Singular Metrics for Moderate Measures

TL;DR

This paper proves an equidistribution theorem for zeros of random sections of high powers of singular Hermitian big line bundles, linking complex geometry with measure theory.

Contribution

It introduces a new equidistribution result for zeros of sections in the context of singular Hermitian line bundles and moderate measures.

Findings

Zeros of random sections become uniformly distributed in the limit

The theorem applies to big line bundles with singular metrics

Links complex geometry with probabilistic measure theory

Abstract

We establish an equidistribution theorem for the common zeros of random sections of high powers of several singular Hermitian big line bundles associated to moderate measures.