Chromatic Selmer groups and arithmetic invariants of elliptic curves
type: Item
instance of: scholarly article
title: Chromatic Selmer groups and arithmetic invariants of elliptic curves
zbMATH Open document ID: 1489.11098
author: Florian Ito Sprung
published in: Journal de Théorie des Nombres de Bordeaux
publication date: 2022-02-03T00:00:00Z
Mathematics Subject Classification ID: 11G40
Mathematics Subject Classification ID: 11R23
Mathematics Subject Classification ID: 14H52
zbMATH DE Number: 7469027
zbMATH Keywords: elliptic curves
zbMATH Keywords: Selmer group
zbMATH Keywords: Mordell-Weil rank
MaRDI profile type: Publication
full work available at URL: jtnb.1190
OpenAlex ID: W4210352396
cites work: Anticyclotomic Iwasawa theory of CM elliptic curves. II
cites work: Q4854052
cites work: On the 2‐part of the Birch and Swinnerton‐Dyer conjecture for quadratic twists of elliptic curves
cites work: Links between cyclotomic and \(\text{GL}_2\) Iwasawa theory
cites work: Arithmetic theory of elliptic curves. Lectures given at the 3rd session of the Centro Internazionale Matematico Estivo (CIME), Cetraro, Italy, July 12--19, 1997
cites work: Mazur's conjecture on higher Heegner points.
cites work: Class numbers in \(\mathbb{Z}_p^d\)-extensions
cites work: Q4297081
cites work: Q4707079
cites work: Completely faithful Selmer groups over Kummer extensions
cites work: Conjecture a and \(\mu\)-invariant for Selmer groups of supersingular elliptic curves
cites work: Eisenstein congruence on unitary groups and Iwasawa main conjectures for CM fields
cites work: On the growth of Mordell-Weil ranks in \(p\)-adic Lie extensions
cites work: Q4831110
cites work: Signed-Selmer groups over the \(\mathbb{Z}_p^2\)-extension of an imaginary quadratic field
cites work: Rankin-Eisenstein classes and explicit reciprocity laws
cites work: Iwasawa theory for elliptic curves at supersingular primes
cites work: Factorisation of Two-variablep-adicL-functions
cites work: On the Mordell-Weil ranks of supersingular abelian varieties in cyclotomic extensions
cites work: Ranks of elliptic curves over \(\mathbb{Z}_p^2\)-extensions
cites work: Iwasawa theory and p-adic L-functions over ${\mathbb Z}_{p}^{2}$-extensions
cites work: Plus/minus Heegner points and Iwasawa theory of elliptic curves at supersingular primes
cites work: \(p\)-adic \(L\)-functions of an elliptic curve and rational points
cites work: Q4840145
cites work: On the \(p\)-adic \(L\)-function of a modular form at a supersingular prime
cites work: On \(L\)-functions of elliptic curves and cyclotomic towers
cites work: Multiplicative reduction and the cyclotomic main conjecture for \(\mathrm{GL}_2\)
cites work: The Iwasawa Main Conjectures for \(\mathrm{GL}_{2}\)
cites work: Iwasawa theory for elliptic curves at supersingular primes: a pair of Main Conjectures
cites work: The Šafarevič-Tate group in cyclotomic \(\mathbb Z_p\)-extensions at supersingular primes
cites work: On pairs of \(p\)-adic \(L\)-functions for weight-two modular forms
cites work: Some remarks on the two-variable Main Conjecture of Iwasawa theory for elliptic curves without complex multiplication
cites work: Special values of anticyclotomic \(L\)-functions.
DOI: 10.5802/JTNB.1190
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description: scientific article; zbMATH DE number 7469027