Please use this identifier to cite or link to this item:
Title: Plectic $p$-adic invariants
Author: Fornea, Michele
Guitart Morales, Xavier
Masdeu, Marc
Keywords: Teoria algebraica de nombres
Funcions L
Grups discontinus
Corbes el·líptiques
Algebraic number theory
Discontinuous groups
Elliptic curves
Issue Date: 17-Sep-2022
Publisher: Elsevier B.V.
Abstract: For modular elliptic curves over number fields of narrow class number one, and with multiplicative reduction at a collection of $p$-adic primes, we define new $p$-adic invariants. Inspired by Nekováŕ and Scholl's plectic conjectures, we believe these invariants control the Mordell-Weil group of higher rank elliptic curves and we support our expectations with numerical experiments.
Note: Versió postprint del document publicat a:
It is part of: Advances in Mathematics, 2022, vol. 406
Related resource:
ISSN: 0001-8708
Appears in Collections:Articles publicats en revistes (Matemàtiques i Informàtica)

Files in This Item:
File Description SizeFormat 
728112.pdf510.16 kBAdobe PDFView/Open    Request a copy

Embargat   Document embargat fins el 17-9-2024

This item is licensed under a Creative Commons License Creative Commons