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arXiv · 2309.13978

Counterexamples to the MMP for 1-foliations in positive characteristic

Fabio Bernasconi
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Abstract

We show that many statements of the Minimal Model Program, including the cone theorem, the base point free theorem and the existence of Mori fibre spaces, fail for 1-foliated surface pairs $(X,\mathcal{F})$ with canonical singularities in characteristic $p>0$.

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Fabio Bernasconi. 2023-09-25. Counterexamples to the MMP for 1-foliations in positive characteristic. https://arxiv.org/abs/2309.13978

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