2023/12/07 by Bhargav Bhatt, Linquan Ma, Zsolt Patakfalvi +4 · 1 citation
paper · doi:10.1007/s10240-023-00140-8
crossref created 2023/05/11 · crossref issued 2023/12/07 · crossref published 2023/12/07 · crossref published-online 2023/12/07 · crossref deposited 2026/02/17 · crossref indexed 2026/07/31
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.