特征2中$\mathbf{A}^{4}/A_{4}$的渐进解析

IF 0.4 4区数学 Q4 MATHEMATICS

Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2023-11-01 DOI:10.3792/pjaa.99.014

Linghu Fan

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引用次数: 0

摘要

本文构造了特征2中商奇点$\mathbf{a}^{4}/A_{4}$的渐增分解，其中$A_{4}$是$\mathbf{a}^{4}$上具有置换作用的4次交替群。通过计算蠕变分解的欧拉数，得到了正特征上McKay对应的一个类似命题的一个新的反例。

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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Crepant resolution of $\mathbf{A}^{4}/A_{4}$ in characteristic 2

In this paper, we construct a crepant resolution for the quotient singularity $\mathbf{A}^{4}/A_{4}$ in characteristic 2, where $A_{4}$ is the alternating group of degree 4 with permutation action on $\mathbf{A}^{4}$. By computing the Euler number of the crepant resolution, we obtain a new counterexample to an analogous statement of McKay correspondence in positive characteristic.

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来源期刊

Proceedings of the Japan Academy Series A-Mathematical Sciences 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： The aim of the Proceedings of the Japan Academy, Series A, is the rapid publication of original papers in mathematical sciences. The paper should be written in English or French (preferably in English), and at most 6 pages long when published. A paper that is a résumé or an announcement (i.e. one whose details are to be published elsewhere) can also be submitted. The paper is published promptly if once communicated by a Member of the Academy at its General Meeting, which is held monthly except in July and in August.