GLOBALLY plus -REGULAR VARIETIES AND THE MINIMAL MODEL PROGRAM FOR THREEFOLDS IN MIXED CHARACTERISTIC
2023
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 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.
Details
Title
GLOBALLY plus -REGULAR VARIETIES AND THE MINIMAL MODEL PROGRAM FOR THREEFOLDS IN MIXED CHARACTERISTIC
Author(s)
Bhatt, Bhargav ; Ma, Linquan ; Patakfalvi, Zsolt ; Schwede, Karl ; Tucker, Kevin ; Waldron, Joe ; Witaszek, Jakub
Published in
Publications Mathematiques De L Ihes
Date
2023-05-10
Publisher
Heidelberg, SPRINGER HEIDELBERG
ISSN
0073-8301
1618-1913
1618-1913
Keywords
Other identifier(s)
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Laboratories
CAG
Record Appears in
Scientific production and competences > SB - School of Basic Sciences > MATH - Institute of Mathematics > CAG - Chair of Geometric Analysis
Scientific production and competences > SB - School of Basic Sciences > Mathematics
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Scientific production and competences > SB - School of Basic Sciences > Mathematics
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Record creation date
2023-06-05