Globally +-regular varieties and the minimal model program for threefolds in mixed characteristic
Algebraic Geometry
2022-12-07 v3 Commutative Algebra
Number Theory
Abstract
We establish the Minimal Model Program for arithmetic threefolds whose residue characteristics are greater than five. In doing this, we generalize the theory of global -regularity to mixed characteristic and identify certain stable sections of adjoint line bundles. Finally, by passing to graded rings, we generalize a special case of Fujita's conjecture to mixed characteristic.
Cite
@article{arxiv.2012.15801,
title = {Globally +-regular varieties and the minimal model program for threefolds in mixed characteristic},
author = {Bhargav Bhatt and Linquan Ma and Zsolt Patakfalvi and Karl Schwede and Kevin Tucker and Joe Waldron and Jakub Witaszek},
journal= {arXiv preprint arXiv:2012.15801},
year = {2022}
}
Comments
132 pages, numerous minor changes, corrections, more detailed explanations and expositional improvements