A Characterization of Special Subvarieties in Orthogonal Shimura Varieties

Publikationstyp:

Zeitschriftenaufsatz

Metadaten:

Autoren

Stefan Mueller-Stach
Kang Zuo

Autoren-URL

https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=fis-test-1&SrcAuth=WosAPI&KeyUT=WOS:000449756200024&DestLinkType=FullRecord&DestApp=WOS_CPL

eISSN

1558-8602

Externe Identifier

Clarivate Analytics Document Solution ID: VH0LF

ISSN

1558-8599

Ausgabe der Veröffentlichung

Zeitschrift

PURE AND APPLIED MATHEMATICS QUARTERLY

Schlüsselwörter

Andre-Oort conjecture
Shimura variety
local system
Higgs bundle

Paginierung

1599 - 1629

Datum der Veröffentlichung

2011

Status

Published

Titel

A Characterization of Special Subvarieties in Orthogonal Shimura Varieties

Sub types

Article

Ausgabe der Zeitschrift

Datenquelle: Web of Science (Lite)

Andere Metadatenquellen:

Abstract

Let $Y$ be a subvariety contained in a smooth Mumford compactification of an orthogonal Shimura variety $M \subset A_g$, where $A_g$ is the moduli space of principally polarized abelian varieties of dimension $g$ with some level structure, such that $Y$ intersects the boundary of $A_g$ transversally. Then we give necessary and sufficient conditions of Andr\'e-Oort type for $Y$ itself being the compactification of a special subvariety $Y^0 \subset M$

Autoren