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arXiv · 1404.3854

Moduli spaces and locally symmetric varieties

Eduard Looijenga
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Abstract

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.

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Eduard Looijenga. 2014-04-15. Moduli spaces and locally symmetric varieties. https://arxiv.org/abs/1404.3854

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