正特征中 1 叶的 MMP 的反例。

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

摘要

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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Counterexamples to the MMP for 1-foliations in positive characteristic

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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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.