# Globally +-regular varieties and the minimal model program for threefolds in mixed characteristic

@inproceedings{Bhatt2020GloballyV, 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}, year={2020} }

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 F -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.

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