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Authors: Javanpeykar, Ariyan
Title: Arithmetic hyperbolicity: automorphisms and persistence
Online publication date: 4-Jul-2022
Year of first publication: 2021
Language: english
Abstract: We show that if the automorphism group of a projective variety is torsion, then it is finite. Motivated by Lang’s conjecture on rational points of hyperbolic varieties, we use this to prove that a projective variety with only finitely many rational points has only finitely many automorphisms. Moreover, we investigate to what extent finiteness of S-integral points on a variety over a number field persists over finitely generated fields. To this end, we introduce the class of mildly bounded varieties and prove a general criterion for proving this persistence.
DDC: 510 Mathematik
510 Mathematics
Institution: Johannes Gutenberg-Universität Mainz
Department: FB 08 Physik, Mathematik u. Informatik
Place: Mainz
Version: Published version
Publication type: Zeitschriftenaufsatz
License: CC BY
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Journal: Mathematische Annalen
Pages or article number: 439
Publisher: Springer
Publisher place: Berlin u.a.
Issue date: 2021
ISSN: 1432-1807
Publisher DOI: 10.1007/s00208-021-02155-0
Appears in collections:JGU-Publikationen

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