6
IRUS TotalDownloads
Altmetric
An ordinary abelian variety with an etale self-isogeny of p-power degree and no isotrivial factors
Title: | An ordinary abelian variety with an etale self-isogeny of p-power degree and no isotrivial factors |
Authors: | Helm, D |
Item Type: | Journal Article |
Abstract: | We construct, for every prime p, a function field K of characteristic p and an ordinary abelian variety A over K, with no isotrivial factors, that admits an ´etale self-isogeny φ : A → A of p-power degree. As a consequence, we deduce that there exist ordinary abelian varieties over function fields whose groups of points over the maximal purely inseparable extension is not finitely generated, answering in the negative a question of Thomas Scanlon. |
Issue Date: | 29-Sep-2022 |
Date of Acceptance: | 21-Jul-2021 |
URI: | http://hdl.handle.net/10044/1/90919 |
DOI: | 10.4310/MRL.2022.v29.n2.a6 |
ISSN: | 1073-2780 |
Start Page: | 445 |
End Page: | 454 |
Journal / Book Title: | Mathematics Research Letters |
Volume: | 29 |
Issue: | 2 |
Copyright Statement: | © 2022 International Press of Boston, Inc. All rights reserved. |
Publication Status: | Published |
Appears in Collections: | Pure Mathematics Faculty of Natural Sciences Mathematics |