Mori Fibrations in Mixed Characteristic
Liam Stigant
TL;DR
This paper advances the understanding of the Minimal Model Program for klt threefolds in mixed characteristic by addressing key unresolved questions about termination, minimal models, and the Sarkisov Program.
Contribution
It provides new results on termination, finiteness of minimal models, and the Sarkisov Program in the context of mixed characteristic.
Findings
Proves termination for non-pseudo-effective pairs
Establishes finiteness of minimal models
Completes the Sarkisov Program in mixed characteristic
Abstract
This paper resolves several outstanding questions regarding the Minimal Model Program for klt threefolds in mixed characteristic. Namely termination for pairs which are not pseudo-effective, finiteness of minimal models and the Sarkisov Program.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometric and Algebraic Topology · Advanced Algebra and Geometry