Existence of flips and minimal models for 3-folds in char p
Algebraic Geometry
2014-10-17 v2
Abstract
We will prove the following results for -fold pairs over an algebraically closed field of characteristic : log flips exist for -factorial dlt pairs ; log minimal models exist for projective klt pairs with pseudo-effective ; the log canonical ring is finitely generated for projective klt pairs when is a big -divisor; semi-ampleness holds for a nef and big -divisor if is nef and big and is projective klt; -factorial dlt models exist for lc pairs ; terminal models exist for klt pairs ; ACC holds for lc thresholds; etc.
Keywords
Cite
@article{arxiv.1311.3098,
title = {Existence of flips and minimal models for 3-folds in char p},
author = {Caucher Birkar},
journal= {arXiv preprint arXiv:1311.3098},
year = {2014}
}
Comments
48 pages, final version to appear in Annales Scientifiques de l'ENS