The anticyclotomic main conjectures for elliptic curves

Fuente: arXiv
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Main Authors: Bertolini, Massimo, Longo, Matteo, Venerucci, Rodolfo
Format: Preprint
Published: 2023
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_version_ 1866911422772936704
author Bertolini, Massimo
Longo, Matteo
Venerucci, Rodolfo
author_facet Bertolini, Massimo
Longo, Matteo
Venerucci, Rodolfo
contents The goal of this article is to obtain a proof of the Main conjectures of Iwasawa theory for rational elliptic curves over anticyclotomic extensions of imaginary quadratic fields, under mild arithmetic assumptions, both in the case where the rational prime $p$ is good ordinary or supersingular.
format Preprint
id arxiv_https___arxiv_org_abs_2306_17784
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle The anticyclotomic main conjectures for elliptic curves
Bertolini, Massimo
Longo, Matteo
Venerucci, Rodolfo
Number Theory
The goal of this article is to obtain a proof of the Main conjectures of Iwasawa theory for rational elliptic curves over anticyclotomic extensions of imaginary quadratic fields, under mild arithmetic assumptions, both in the case where the rational prime $p$ is good ordinary or supersingular.
title The anticyclotomic main conjectures for elliptic curves
topic Number Theory
url https://arxiv.org/abs/2306.17784