Authors:	Mohajer, Abolfazl
Title:	Rational points on abelian varieties over function fields and Prym varieties
Online publication date:	10-May-2021
Year of first publication:	2021
Language:	english
Abstract:	In this paper, using a generalization of the notion of Prym variety for covers of projective varieties, we prove a structure theorem for the Mordell–Weil group of abelian varieties over function fields that are twists of abelian varieties by Galois covers of smooth projective varieties. In particular, the results we obtain contribute to the construction of Jacobians of high rank.
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-5799
Version:	Published version
Publication type:	Zeitschriftenaufsatz
License:	CC BY
Information on rights of use:	https://creativecommons.org/licenses/by/4.0/
Journal:	Archiv der Mathematik 116 2021
Pages or article number:	293 300
Publisher:	Springer
Publisher place:	Berlin u.a.
Issue date:	2021
ISSN:	1420-8938
Publisher URL:	https://doi.org/10.1007/s00013-020-01550-4
Publisher DOI:	10.1007/s00013-020-01550-4
Appears in collections:	JGU-Publikationen