English

On weak Zariski decompositions and termination of flips

Algebraic Geometry 2020-03-26 v3

Abstract

We prove that termination of lower dimensional flips for generalized klt pairs implies termination of flips for log canonical generalized pairs with a weak Zariski decomposition. Moreover, we prove that the existence of weak Zariski decompositions for pseudo-effective generalized klt pairs implies the existence of minimal models for such pairs.

Keywords

Cite

@article{arxiv.1805.01600,
  title  = {On weak Zariski decompositions and termination of flips},
  author = {Christopher D. Hacon and Joaquín Moraga},
  journal= {arXiv preprint arXiv:1805.01600},
  year   = {2020}
}