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arXiv · 1606.03972

A strong hyperbolicity property of locally symmetric varieties

Yohan Brunebarbe
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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.

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Yohan Brunebarbe. 2016-06-13. A strong hyperbolicity property of locally symmetric varieties. https://arxiv.org/abs/1606.03972

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