作用于超凯勒方程模空间的群

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

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引用次数: 0

摘要

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。

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Groups Acting on Moduli Spaces of Hyper-Kähler Manifolds

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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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

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.

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