English

On the relative Minimal Model Program for threefolds in low characteristics

Algebraic Geometry 2020-03-10 v2

Abstract

We show the validity of the relative dlt MMP over Q-factorial threefolds in all characteristics p>0. As a corollary, we generalise many recent results to low characteristics including: WOW\mathcal{O}-rationality of klt singularities, inversion of adjunction, and normality of divisorial centres up to a universal homeomorphism.

Keywords

Cite

@article{arxiv.1909.12872,
  title  = {On the relative Minimal Model Program for threefolds in low characteristics},
  author = {Christopher Hacon and Jakub Witaszek},
  journal= {arXiv preprint arXiv:1909.12872},
  year   = {2020}
}

Comments

Theorem 1.6, Corollary 1.7, and Proposition 6.3 removed due to issues with the proofs

R2 v1 2026-06-23T11:28:33.971Z