A strong hyperbolicity property of locally symmetric varieties

2016/06/13 by Yohan Brunebarbe, Brunebarbe, Yohan · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1606.03972

Abstract

We show that all subvarieties of a quotient of a bounded symmetric domain by a sufficiently small arithmetic discrete group of automorphisms are of general type. This result corresponds through the Green-Griffiths-Lang's conjecture to a well-known result of Nadel.

Cited by

• Subvarieties of quotients of bounded symmetric domains

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