Counterexamples to the MMP for 1-foliations in positive characteristic
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866911751052722176 |
|---|---|
| author | Bernasconi, Fabio |
| author_facet | Bernasconi, Fabio |
| contents | 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 $p>0$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_13978 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Counterexamples to the MMP for 1-foliations in positive characteristic Bernasconi, Fabio Algebraic Geometry 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 $p>0$. |
| title | Counterexamples to the MMP for 1-foliations in positive characteristic |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2309.13978 |