Groups Acting on Moduli Spaces of Hyper-Kähler Manifolds

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research 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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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