English

Mori fibre spaces for $3$-folds over imperfect fields

Algebraic Geometry 2023-03-02 v1

Abstract

We prove that the LMMP works for projective threefolds over function fields of characteristic p>5p>5 when the canonical divisor is not pseudo-effective. In the process we show that ACC for log canonical thresholds holds in complete generality for threefolds in residue characteristic p>5p>5.

Keywords

Cite

@article{arxiv.2303.00615,
  title  = {Mori fibre spaces for $3$-folds over imperfect fields},
  author = {Joe Waldron},
  journal= {arXiv preprint arXiv:2303.00615},
  year   = {2023}
}