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Article contents

A CHARACTERIZATION OF SPECIAL SUBVARIETIES

Published online by Cambridge University Press:  07 March 2011

Emmanuel Ullmo
Affiliation:
Departement de Mathématique, Université de Paris-Sud, Orsay, France (email: ullmo@math.u-psud.fr)
Andrei Yafaev
Affiliation:
Department of Mathematics, University College London, U.K. (email: yafaev@math.ucl.ac.uk)

Abstract

We prove that an algebraic subvariety of a Shimura variety is weakly special if and only if analytic components of its preimage in the symmetric space are algebraic. We also prove an analogous result in the case of abelian varieties.

Type
Research Article
Copyright
Copyright © University College London 2011

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