We give explicit uniform bounds for several quantities relevant to the study of Galois representations attached to elliptic curves E/Q. We consider, in particular, the subgroup of scalars in the image of Galois, the first Galois co -homology group with values in the torsion of E, and the Kummer extensions generated by points of infinite order in E(Q).

Some uniform bounds for elliptic curves over Q

Davide Lombardo;
2022-01-01

Abstract

We give explicit uniform bounds for several quantities relevant to the study of Galois representations attached to elliptic curves E/Q. We consider, in particular, the subgroup of scalars in the image of Galois, the first Galois co -homology group with values in the torsion of E, and the Kummer extensions generated by points of infinite order in E(Q).
2022
Lombardo, Davide; Tronto, Sebastiano
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/1181127
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? 0
social impact