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VOL. 69 | 2016 Moduli spaces and locally symmetric varieties
Eduard Looijenga

Editor(s) Osamu Fujino, Shigeyuki Kondō, Atsushi Moriwaki, Masa-Hiko Saito, Kōta Yoshioka


This survey paper is about moduli spaces in algebraic geometry for which a period map gives that space the structure of a (possibly incomplete) locally symmetric variety and about their natural compactifications. We outline the Baily-Borel compactification for such varieties, and show that it usually differs from the compactifications furnished by the standard techniques in algebraic geometry. It turns out however, that a reconciliation is possible by means of a generalization of the Baily-Borel construction for the class of incomplete locally symmetric varieties that occur here.

The emphasis is here on moduli spaces of varieties other than that of polarized abelian varieties.


Published: 1 January 2016
First available in Project Euclid: 4 October 2018

zbMATH: 1369.14044
MathSciNet: MR3586506

Digital Object Identifier: 10.2969/aspm/06910033

Primary: 14J15, 32M15, 32N15

Rights: Copyright © 2016 Mathematical Society of Japan


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