|
|||||
|
|
|
|
|
|
|
|
|
|
|
|
|
Some uniform bounds
for elliptic curves over $\mathbb{Q}$
Davide Lombardo and Sebastiano Tronto |
|
Vol. 320 (2022), No. 1, 133–175
|
Abstract |
|
We give explicit uniform bounds for several quantities relevant to the study of Galois representations attached to elliptic curves . We consider, in particular, the subgroup of scalars in the image of Galois, the first Galois cohomology group with values in the torsion of , and the Kummer extensions generated by points of infinite order in . |
PDF Access Denied
We have not been able to recognize your IP address
18.97.14.86
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for USD 40.00:
Keywords
Elliptic curves, Galois representations, Kummer theory,
division points
|
Mathematical Subject Classification
Primary: 11F80, 11G05, 14K15
|
Milestones
Received: 7 July 2021
Revised: 11 May 2022
Accepted: 16 July 2022
Published: 16 October 2022
|
Authors |
| Davide Lombardo | |
| Dipartimento di Matematica Università di Pisa Pisa Italy |
|
| Sebastiano Tronto | |
| Department of Mathematics University of Luxembourg Esch-sur-Alzette Luxembourg |
|
