English

On existence of log minimal models II

Algebraic Geometry 2009-07-27 v1

Abstract

We prove that the existence of log minimal models in dimension dd essentially implies the LMMP with scaling in dimension dd. As a consequence we prove that a weak nonvanishing conjecture in dimension dd implies the minimal model conjecture in dimension dd.

Keywords

Cite

@article{arxiv.0907.4170,
  title  = {On existence of log minimal models II},
  author = {Caucher Birkar},
  journal= {arXiv preprint arXiv:0907.4170},
  year   = {2009}
}