English

On the termination of flips for log canonical generalized pairs

Algebraic Geometry 2024-04-16 v2

Abstract

We prove the termination of flips for 4-dimensional pseudo-effective NQC log canonical generalized pairs. As main ingredients, we verify the termination of flips for 3-dimensional NQC log canonical generalized pairs, and show that the termination of flips for pseudo-effective NQC log canonical generalized pairs which admit NQC weak Zariski decompositions follows from the termination of flips in lower dimensions.

Keywords

Cite

@article{arxiv.2011.02236,
  title  = {On the termination of flips for log canonical generalized pairs},
  author = {Guodu Chen and Nikolaos Tsakanikas},
  journal= {arXiv preprint arXiv:2011.02236},
  year   = {2024}
}

Comments

v2: minor modifications; exposition slightly changed, following the referees' comments; to appear in Acta Math. Sin. Engl. Ser