English

Log minimal models according to Shokurov

Algebraic Geometry 2008-04-23 v1

Abstract

Following Shokurov's ideas, we give a short proof of the following klt version of his result: termination of terminal log flips in dimension d implies that any klt pair of dimension d has a log minimal model or a Mori fibre space. Thus, in particular, any klt pair of dimension 4 has a log minimal model or a Mori fibre space.

Keywords

Cite

@article{arxiv.0804.3577,
  title  = {Log minimal models according to Shokurov},
  author = {Caucher Birkar},
  journal= {arXiv preprint arXiv:0804.3577},
  year   = {2008}
}

Comments

6 pages

R2 v1 2026-06-21T10:33:37.406Z