Moduli spaces and locally symmetric varieties
Moduli spaces and locally symmetric varieties
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模空间和局部对称簇
DOI：
10.2969/aspm/06910033
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
E. Looijenga
中科院分区：
文献类型：
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作者：
E. Looijenga
这是一篇关于具有(可能不完全的)局部对称簇的自然结构的模空间的综述。我们概述了这类簇的Baly-Borel紧化，并将其与代数几何技巧提供的紧化进行了比较。它们大体上是不同的，但我们表明，对于一类不完全局部对称变种，通过推广Baly-Borel技巧是可能的。这里的重点不是极化阿贝尔簇的模空间，而是簇的模空间。
This is a survey paper on moduli spaces that have a natural structure of a (possibly incomplete) locally symmetric variety. We outline the Baily-Borel compactification for such varieties and compare it with the compactifications furnished by techniques in algebraic geometry. These differ in general, but we show that a reconciliation is possible by means of a generalization of the Baily-Borel technique for a class of incomplete locally symmetric varieties. The emphasis is here on moduli spaces of varieties other than that of polarized abelian varieties.