的雅可比矩阵和Shimura子变种的分解 \(A_g\)

IF 0.5 4区数学 Q3 MATHEMATICS

Archiv der Mathematik Pub Date : 2025-05-07 DOI:10.1007/s00013-025-02123-z

Abolfazl Mohajer

引用次数: 0

摘要

利用具有群作用的雅可比矩阵的分解，证明了复射影线\({{\mathbb {P}}}^1\)的二面体覆盖族和四元数覆盖族在ppav \(A_{g}\)的模空间中不存在Shimura子簇。

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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Decomposition of Jacobians and Shimura subvarieties of \(A_g\)

Using the decomposition of Jacobians with group action, we prove the non-existence of some Shimura subvarieties in the moduli space of ppav \(A_{g}\) arising from families of dihedral and quaternionic covers of the complex projective line \({{\mathbb {P}}}^1\).

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来源期刊

Archiv der Mathematik 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

117

审稿时长

4-8 weeks

期刊介绍： Archiv der Mathematik (AdM) publishes short high quality research papers in every area of mathematics which are not overly technical in nature and addressed to a broad readership.