Tian's theorem for Moishezon spaces

TL;DR

This paper proves that Fubini-Study currents from singular Hermitian line bundles on Moishezon spaces asymptotically match their curvature currents, advancing understanding of complex geometry and line bundle behavior.

Contribution

It establishes a Tian-type theorem for Moishezon spaces, extending asymptotic distribution results to singular Hermitian line bundles.

Findings

Fubini-Study currents converge to curvature currents

Results apply to compact normal Moishezon spaces

Advances in understanding line bundle asymptotics

Abstract

We prove that the Fubini-Study currents associated to a sequence of singular Hermitian holomorphic line bundles on a compact normal Moishezon space distribute asymptotically as the curvature currents of their metrics.