Counterexamples to the MMP for 1-foliations in positive characteristic

Q2 Mathematics

Annali dell''Universita di Ferrara Pub Date : 2024-02-03 DOI:10.1007/s11565-024-00488-7

Fabio Bernasconi

引用次数: 0

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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正特征中 1 叶的 MMP 的反例。

我们证明，对于在特征 p > 0 中具有典范奇点的单叶曲面对 ( X , F ) 而言，极小模型计划的许多声明，包括圆锥定理、无基点定理和莫里纤维空间的存在，都是失败的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Annali dell''Universita di Ferrara Mathematics-Mathematics (all)

CiteScore

1.70

自引率

0.00%

发文量

期刊介绍： Annali dell''Università di Ferrara is a general mathematical journal publishing high quality papers in all aspects of pure and applied mathematics. After a quick preliminary examination, potentially acceptable contributions will be judged by appropriate international referees. Original research papers are preferred, but well-written surveys on important subjects are also welcome.