Groups Acting on Moduli Spaces of Hyper-Kähler Manifolds

IF 1.2 3区数学 Q1 MATHEMATICS

Milan Journal of Mathematics Pub Date : 2024-05-08 DOI:10.1007/s00032-024-00396-7

Francesca Rizzo

引用次数: 0

Abstract

The period morphism of polarized hyper-Kähler manifolds of K3\(^{[m]}\)-type gives an embedding of each connected component of the moduli space of polarized hyper-Kähler manifolds of K3\(^{[m]}\)-type into their period space, which is the quotient of a Hermitian symmetric domain by an arithmetic group. Following work of Stellari and Gritsenko-Hulek-Sankaran, we study the ramification of covering maps between these period spaces that arise from the action of some groups of isometries.

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作用于超凯勒方程模空间的群

K3（^{[m]}\）型极化超凯勒流形的周期形变给出了K3（^{[m]}\）型极化超凯勒流形模空间的每个连通分量嵌入其周期空间的情况，而周期空间是算术群的赫米对称域的商。继斯泰拉里和格里森科-胡莱克-桑卡兰的研究之后，我们研究了这些周期空间之间的覆盖映射的ramification，这些映射产生于一些等距群的作用。

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

Milan Journal of Mathematics 数学-数学

CiteScore

2.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Milan Journal of Mathematics (MJM) publishes high quality articles from all areas of Mathematics and the Mathematical Sciences. The authors are invited to submit "articles with background", presenting a problem of current research with its history and its developments, the current state and possible future directions. The presentation should render the article of interest to a wider audience than just specialists. Many of the articles will be "invited contributions" from speakers in the "Seminario Matematico e Fisico di Milano". However, also other authors are welcome to submit articles which are in line with the "Aims and Scope" of the journal.