M-regular Decompositions for pushforwards of pluricanonical bundles of pairs to abelian varieties

TL;DR

This paper extends the Chen-Jiang decomposition to klt pairs, providing a new framework for understanding pushforwards of pluricanonical bundles to abelian varieties and offering geometric applications.

Contribution

It introduces a generalized decomposition for pushforwards of pluricanonical bundles of pairs, expanding previous results to a broader class of pairs.

Findings

Extended Chen-Jiang decomposition to klt pairs

Provided geometric applications of the decomposition

Enhanced understanding of pluricanonical bundle pushforwards

Abstract

We extend the so called Chen-Jiang decomposition for pushforward of pluricanocanical bundles to abelian varieties to the setting of klt pairs. We also provide a geometric application of this decomposition.