The LMMP for log canonical 3-folds in char $p$

Abstract

We prove that one can run the log minimal model program for log canonical $3$-fold pairs in characteristic $p>5$. In particular we prove the Cone Theorem, Contraction Theorem, the existence of flips and the existence of log minimal models for pairs with log divisor numerically equivalent to an effective divisor. These follow from our main results, which are that certain log minimal models are good.

References in corpus (3)

• Semiample perturbations for log canonical varieties over an F-finite field containing an infinite perfect field
• Remarks on the abundance conjecture
• On base point free theorem and Mori dream spaces for log canonical threefolds over the algebraic closure of a finite field

Cited by in corpus (4)

• Globally +-regular varieties and the minimal model program for threefolds in mixed characteristic
• On base point free theorem and Mori dream spaces for log canonical threefolds over the algebraic closure of a finite field
• Normal projective varieties admitting polarized or int-amplified endomorphisms
• Iitaka's $C_{n,m}$ conjecture for 3-folds in positive characteristic