
The Library
Integral points on punctured abelian varieties
Tools
Siksek, Samir (2022) Integral points on punctured abelian varieties. European Journal of Mathematics, 8 . pp. 687-703. doi:10.1007/s40879-022-00570-4 ISSN 2199-675X.
|
PDF
WRAP-integral-points-punctured-abelian-varieties-Siksek-2022.pdf - Published Version - Requires a PDF viewer. Available under License Creative Commons: Attribution-Noncommercial 4.0. Download (361Kb) | Preview |
|
![]() |
PDF
WRAP-integral-points-punctured-abelian-varieties-Siksek-2022.pdf - Accepted Version Embargoed item. Restricted access to Repository staff only - Requires a PDF viewer. Download (769Kb) |
Official URL: https://doi.org/10.1007/s40879-022-00570-4
Abstract
Let A/Q be an abelian variety such that A(Q)={0A}. Let ℓ and p be rational primes, such that A has good reduction at p, and satisfying ℓ≡1(modp) and ℓ∤#A(Fp). Let S be a finite set of rational primes. We show that (A∖{0A})(OL,S)=∅ for 100% of cyclic degree ℓ fields L/Q, when ordered by conductor, or by absolute discriminant.
Item Type: | Journal Article | ||||||||
---|---|---|---|---|---|---|---|---|---|
Subjects: | Q Science > QA Mathematics | ||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
Library of Congress Subject Headings (LCSH): | Abelian varieties, Number theory, Integral equations, Algebra | ||||||||
Journal or Publication Title: | European Journal of Mathematics | ||||||||
Publisher: | Springer | ||||||||
ISSN: | 2199-675X | ||||||||
Official Date: | November 2022 | ||||||||
Dates: |
|
||||||||
Volume: | 8 | ||||||||
Page Range: | pp. 687-703 | ||||||||
DOI: | 10.1007/s40879-022-00570-4 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Open Access (Creative Commons) | ||||||||
Date of first compliant deposit: | 19 July 2022 | ||||||||
Date of first compliant Open Access: | 31 August 2022 | ||||||||
RIOXX Funder/Project Grant: |
|
||||||||
Related URLs: |
Request changes or add full text files to a record
Repository staff actions (login required)
![]() |
View Item |
Downloads
Downloads per month over past year