On the minimal model program for projective varieties with pseudo-effective tangent sheaf

Abstract

In this paper, we develop a theory of pseudo-effective sheaves on normal projective varieties. As an application, by running the minimal model program, we show that projective klt varieties with pseudo-effective tangent sheaf can be decomposed into Fano varieties and Q-abelian varieties.

Keywords

• mathematics - algebraic geometry
• mathematics - complex variables
• mathematics - differential geometry
• 14e30 (primary), 53c25, 32j25 (secondary)