Equidistribution for sequences of line bundles on normal Kaehler spaces

TL;DR

This paper investigates the asymptotic behavior of Fubini-Study currents and zeros of random holomorphic sections for sequences of singular Hermitian line bundles on compact normal Kähler spaces, advancing understanding in complex geometry.

Contribution

It introduces new asymptotic analysis techniques for Fubini-Study currents and zeros in the context of singular Hermitian line bundles on normal Kähler spaces.

Findings

Asymptotic distribution of zeros is characterized

Fubini-Study currents exhibit specific limiting behavior

Results extend previous work to singular settings

Abstract

We study the asymptotics of Fubini-Study currents and zeros of random holomorphic sections associated to a sequence of singular Hermitian line bundles on a compact normal Kaehler complex space.