The Sarkisov program on log surfaces

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arxiv 1910.07025 v2 pith:KFG3F7YX submitted 2019-10-15 math.AG

Keisuke Miyamoto This is my paper · ORCID

classification math.AG

keywords surfacesprogramsarkisovalgebraicallycanonicalclosedfactorialfield

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abstract

We show that the Sarkisov program holds for $\mathbb{Q}$-factorial log surfaces and log canonical surfaces over any algebraically closed field.

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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.