Globally $\pmb{+}$-regular varieties and the minimal model program for threefolds in mixed characteristic

Autor: Bhargav Bhatt, Linquan Ma, Zsolt Patakfalvi, Karl Schwede, Kevin Tucker, Joe Waldron, Jakub Witaszek
Rok vydání: 2023
Předmět:
Zdroj: Publications mathématiques de l'IHÉS.
ISSN: 1618-1913
0073-8301
DOI: 10.1007/s10240-023-00140-8
Popis: 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 $F$ 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.
Databáze: OpenAIRE
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