Bhatt, BhargavMa, LinquanPatakfalvi, ZsoltSchwede, KarlTucker, KevinWaldron, JoeWitaszek, Jakub2023-06-052023-06-052023-06-052023-05-1010.1007/s10240-023-00140-8https://infoscience.epfl.ch/handle/20.500.14299/198110WOS:000986502800001We 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.Mathematicsmori fiber spacescharacteristic ptest idealsrational-singularitiesintegral-extensionslocal cohomologyf-singularitiesgeneral typeringsconjecturetext::journal::journal article::research article