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

2022/11/16 by Shin-ichi Matsumura, Shinichi Matsumura · 1 citation
Mathematics · Physics and Astronomy · #math.AG #math.CV #math.DG

paper · pdf · doi:10.46298/epiga.2023.10337

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.

Cited by

• Compact Kähler manifolds with nef anti-canonical bundle

Related

• Transcendental Minimal Model Program for Projective Varieties
• Minimal model program for algebraically integrable foliations on klt varieties
• Toric Foliated Minimal Model Program
• A Minimal Model Program for ℚ-Gorenstein varieties
• Morphisms of Projective Varieties from the viewpoint of Minimal Model Theory