English

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

Algebraic Geometry 2026-05-27 v2 Complex Variables Differential Geometry

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

Cite

@article{arxiv.2211.09109,
  title  = {On the minimal model program for projective varieties with pseudo-effective tangent sheaf},
  author = {Shin-ichi Matsumura},
  journal= {arXiv preprint arXiv:2211.09109},
  year   = {2026}
}

Comments

completely revised version, 13 pages

R2 v1 2026-06-28T06:03:57.316Z