Abundance for non-uniruled 3-folds with non-trivial Albanese maps in positive characteristics

TL;DR

This paper proves the abundance conjecture for certain non-uniruled 3-folds with non-trivial Albanese maps over fields of characteristic greater than 5, leading to a characterization of abelian 3-folds.

Contribution

It establishes the abundance for a class of 3-folds in positive characteristic, advancing the minimal model program in this setting.

Findings

Proves abundance for non-uniruled 3-folds with non-trivial Albanese maps in characteristic p > 5.

Provides a characterization of abelian 3-folds based on these results.

Extends the understanding of the minimal model program in positive characteristic.

Abstract

In this paper, we prove abundance for non-uniruled 3-folds with non-trivial Albanese maps, over an algebraically closed field of characteristic $p > 5$. As an application we get a characterization of abelian 3-folds.