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

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.

19 pages. Comments are warmly welcome! To appear in JLMS

References in corpus (6)

• Abundance theorem for surfaces over imperfect fields
• On the Abundance Problem for $3$-folds in characteristic $p>5$
• Iitaka's $C_{n,m}$ conjecture for 3-folds over finite fields
• Birational characterization of abelian varieties and ordinary abelian varieties in characteristic p>0
• On the characterization of abelian varieties in characteristic $p>0$
• Subadditivity of Kodaira dimensions for fibrations of three-folds in positive characteristics

Cited by in corpus (3)

• Nonvanishing for threefolds in characteristic $p>5$
• On the Abundance Problem for $3$-folds in characteristic $p>5$
• Birational characterization of abelian varieties and ordinary abelian varieties in characteristic p>0