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Mori Fibrations in Mixed Characteristic

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arxiv 2110.06067 v2 pith:2APVN3E2 submitted 2021-10-12 math.AG

Liam Stigant This is my paper · ORCID
classification math.AG
keywords characteristicminimalmixedprogramfibrationsfinitenessmodelmodels
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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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  1. Sarkisov program for algebraically integrable and threefold foliations

    math.AG 2025-05 conditional novelty 8.0 of 10

    The authors establish that for algebraically integrable foliations on klt varieties, and for rank one foliations on threefolds, any two Mori fiber spaces are connected by Sarkisov links.

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