Please use this identifier to cite or link to this item:
http://doi.org/10.25358/openscience-7280
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 |
ROR: | https://ror.org/023b0x485 |
DOI: | http://doi.org/10.25358/openscience-7280 |
Version: | Published version |
Publication type: | Zeitschriftenaufsatz |
License: | CC BY |
Information on rights of use: | https://creativecommons.org/licenses/by/4.0/ |
Journal: | Mathematische Annalen 381 |
Pages or article number: | 439 457 |
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 |
Files in This Item:
File | Description | Size | Format | ||
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arithmetic_hyperbolicity__aut-20220701124940732.pdf | 373.79 kB | Adobe PDF | View/Open |