Year: 2022
Type: article
Abstract: We give explicit uniform bounds for several quantities relevant to the study of Galois representations attached to elliptic curves $E/\mathbb Q$. We consider in particular the subgroup of scalars in the image of Galois, the first Galois cohomology group with values in the torsion of $E$, and the Kummer extensions generated by points of infinite order in $E(\mathbb Q)$.
Source: Pacific Journal of Mathematics
Authors: Davide Lombardo, Sebastiano Tronto
Institutions: University of Pisa, University of Luxembourg
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4306353698