On Non-Normal Subvarieties of the Moduli Space of Riemann Surfaces

IF 0.4 3区数学 Q4 MATHEMATICS

Transformation Groups Pub Date : 2024-07-27 DOI:10.1007/s00031-024-09870-3

Rubén A. Hidalgo, Jennifer Paulhus, Sebastián Reyes-Carocca, Anita M. Rojas

引用次数: 0

Abstract

In this article, we consider certain irreducible subvarieties of the moduli space of compact Riemann surfaces determined by the specification of actions of finite groups. We address the general problem of determining which among them are non-normal subvarieties of the moduli space. We obtain several new examples of subvarieties with this property.

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论黎曼曲面模空间的非正态子变量

在本文中，我们考虑了紧凑黎曼曲面模空间的某些不可还原子域，它们是由有限群的规范作用决定的。我们要解决的一般问题是确定其中哪些是模空间的非正态子变量。我们得到了几个具有这种性质的子域的新例子。

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

Transformation Groups 数学-数学

CiteScore

1.60

自引率

0.00%

发文量

100

审稿时长

9 months

期刊介绍： Transformation Groups will only accept research articles containing new results, complete Proofs, and an abstract. Topics include: Lie groups and Lie algebras; Lie transformation groups and holomorphic transformation groups; Algebraic groups; Invariant theory; Geometry and topology of homogeneous spaces; Discrete subgroups of Lie groups; Quantum groups and enveloping algebras; Group aspects of conformal field theory; Kac-Moody groups and algebras; Lie supergroups and superalgebras.