A strong hyperbolicity property of locally symmetric varieties
classification
🧮 math.AG
keywords
resultsymmetricarithmeticautomorphismsboundedconjecturecorrespondsdiscrete
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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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