Moduli spaces and locally symmetric varieties
Algebraic Geometry
2014-04-16 v1
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.
Cite
@article{arxiv.1404.3854,
title = {Moduli spaces and locally symmetric varieties},
author = {Eduard Looijenga},
journal= {arXiv preprint arXiv:1404.3854},
year = {2014}
}
Comments
28 pages, based on lectures given at the 6th Seasonal Institute of the Mathematical Society of Japan (Development of Moduli Theory), held in June 2013 in Kyoto