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

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

Abstract

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.

Information

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

zbMATH: 1369.14044
MathSciNet: MR3586506

Digital Object Identifier: 10.2969/aspm/06910033

Subjects:
Primary: 14J15, 32M15, 32N15

Rights: Copyright © 2016 Mathematical Society of Japan

PROCEEDINGS ARTICLE
43 PAGES


SHARE
Back to Top