Solvable points on genus one curves

Andrew Wiles, Mirela Çiperiani

Type: Article

Publication Date: 2008-04-15

Citations: 19

DOI: https://doi.org/10.1215/00127094-2008-010

View Publication

Locations

Duke Mathematical Journal - View

Similar Works

Action	Title	Year	Authors
+	Solvable points on genus one curves over local fields	2012	Ambrus Pál
+	Solvable points on genus one curves over local fields	2012	Ambrus Pál
+	Solvable points on genus-one curves over local fields	2012	Ambrus Pál
+	Solvable points on higher genus curves	2022	James Rawson
+ PDF Chat	Solvable Points on Projective Algebraic Curves	2004	Ambrus Pál
+	Solvable points on smooth projective varieties	2015	Trevor D. Wooley
+	Solvable points on smooth projective varieties	2015	Trevor D. Wooley
+ PDF Chat	Solvable points on smooth projective varieties	2015	Trevor D. Wooley
+	A note on the ramification of torsion points lying on curves of genus at least two	2009	Damian Rössler
+	The proportion of genus one curves over ℚ defined by a binary quartic that everywhere locally have a point	2020	Manjul Bhargava J. E. Cremona Tom Fisher
+	The proportion of genus one curves over $\mathbb{Q}$ defined by a binary quartic that everywhere locally have a point	2020	Manjul Bhargava J. E. Cremona Tom Fisher
+	The proportion of genus one curves over $\mathbb{Q}$ defined by a binary quartic that everywhere locally have a point	2020	Manjul Bhargava J. E. Cremona Tom Fisher
+ PDF Chat	Curves of fixed gonality with many rational points	2023	Floris Vermeulen
+	Rational points on solvable curves over $\mathbb{Q}$ via non-abelian Chabauty	2017	Jordan S. Ellenberg Daniel Rayor Hast
+	Torsion points on elliptic curves over quintic and sextic number fields	2017	Maarten Derickx
+ PDF Chat	Rational Points on Solvable Curves over ℚ via Non-Abelian Chabauty	2021	Jordan S. Ellenberg Daniel Rayor Hast
+	Rational points on curves over function fields	2013	Amílcar Pacheco Fabien Pazuki
+	Rational points on curves over function fields	2012	Amílcar Pacheco Fabien Pazuki
+ PDF Chat	Rational points on curves over function fields	2013	Amílcar Pacheco Fabien Pazuki
+ PDF Chat	Rational points on curves over function fields	2013	Amílcar Pacheco Fabien Pazuki

Works That Cite This (18)

Action	Title	Year	Authors
+ PDF Chat	Tate–Shafarevich groups in anticyclotomic ℤ<sub><i>p</i></sub>-extensions at supersingular primes	2009	Mirela Çiperiani
+ PDF Chat	Solvable points on smooth projective varieties	2015	Trevor D. Wooley
+	Fine Selmer groups, Heegner points and anticyclotomic ℤp-extensions	2017	Ahmed Matar
+	Solvable points on genus-one curves over local fields	2012	Ambrus Pál
+ PDF Chat	Selmer groups and the indivisibility of Heegner points	2014	Wei Zhang
+ PDF Chat	Shadow Lines in the Arithmetic of Elliptic Curves	2016	Jennifer S. Balakrishnan Mirela Çiperiani J. Lang Bilal Mirza Rachel Newton
+	The cyclomatic number of connected graphs without solvable orbits	2007	Gyula Károlyi Ambrus Pál
+ PDF Chat	Visibility of the Shafarevich-Tate group at higher level	2007	Dimitar Jetchev William Stein
+ PDF Chat	Plus/minus Heegner points and Iwasawa theory of elliptic curves at supersingular primes	2018	Matteo Longo Stefano Vigni
+ PDF Chat	Weil–Châtelet divisible elements in Tate–Shafarevich groups I: The Bashmakov problem for elliptic curves over	2013	Mirela Çiperiani Jakob Stix

Works Cited by This (25)

Action	Title	Year	Authors
+	The work of kolyvagin on the arithmetic of elliptic curves	1989	Karl Rubin
+	Kolyvagin's descent and Mordell-Weil groups over ring class fields.	1990	Massimo Bertolini Henri Darmon
+	Sur les coefficients de Fourier des formes modulaires de poids demi-entier	1981	J. L. Waldspurger
+ PDF Chat	Fonctions $L$ $p$-adiques, théorie d'Iwasawa et points de Heegner	1987	Bernadette Perrin-Riou
+	Kolyvagin's work for modular elliptic curves	1991	Benedict H. Gross
+	On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises	2001	Christophe Breuil Brian Conrad Fred Diamond Richard Taylor
+	On the structure of Selmer groups	1991	V. A. Kolyvagin
+	Nonvanishing theorems for L-functions of modular forms and their derivatives	1990	Daniel Bump Solomon Friedberg Jeffrey Hoffstein
+	Propri�t�s galoisiennes des points d'ordre fini des courbes elliptiques	1971	Jean-Pierre Serre
+	THE COHOMOLOGY OF ABELIAN VARIETIES OVER A NUMBER FIELD	1972	M. I. Bashmakov