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.

completely revised version, 13 pages

References in corpus (1)

• Structure theorem for projective klt pairs with nef anti-canonical divisor

Cited by in corpus (1)

• Compact Kähler three-folds with nef anti-canonical bundle