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Wednesday, July 11, 2018 - 15:15 in D5-153


Arithmetic hyperbolicity

A talk in the Bielefeld Arithmetic Geometry Seminar series by
Ariyan Javanpeykar from Mainz

Abstract: A projective variety is arithmetically hyperbolic if it has only finitely many "rational points". What properties should such a variety have? If one believes in conjectures of Green-Griffiths, Lang, and Vojta, such varieties should share many properties in common with varieties of general type and Brody hyperbolic varieties. Motivated by these conjectures, we show that a projective arithmetically hyperbolic variety has only finitely many automorphisms, and that any surjective endomorphism is an automorphism.



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