ARITHMETIC ELLIPTIC CURVES IN GENERAL POSITION

Shinichi Mochizuki

Type: Article

Publication Date: 2010-01-01

Citations: 11

Locations

Mathematical Journal of Okayama University - View

Similar Works

Action	Title	Year	Authors
+	Height of rational points on congruent number elliptic curves	2018	Pierre Le Boudec
+	Height of rational points on congruent number elliptic curves.	2018	Pierre Le Boudec
+	Arithmetic and Geometry	2019
+	Arithmetic and Geometry	2019
+	Bounding the Elliptic Mahler Measure II	1998	Graham Everest Chris Pinner
+	Congruent numbers, elliptic curves, and the passage from the local to the global	2007	Chandan Singh Dalawat
+	Congruent numbers, elliptic curves, and the passage from the local to the global	2007	Chandan Singh Dalawat
+ PDF Chat	Quadratic Chabauty and Rational Points II: Generalised Height Functions on Selmer Varieties	2019	Jennifer S. Balakrishnan Netan Dogra
+	Most hyperelliptic curves over Q have no rational points	2013	Manjul Bhargava
+	Arithmetic on curves	2003	Chandan Singh Dalawat
+	Bounding the degree of Belyi polynomials	2013	Jose Israel Rodriguez
+	Quadratic Chabauty and rational points II: Generalised height functions on Selmer varieties	2017	Jennifer S. Balakrishnan Netan Dogra
+	Arithmetic Algebraic Geometry	1991	Gerard van der Geer Frans J. Oort J. H. M. Steenbrink
+	p-adic adelic metrics and Quadratic Chabauty I	2021	Amnon Besser J. Steffen Müller Padmavathi Srinivasan
+	Heegner points and the arithmetic of elliptic curves over ring class extensions	2012	Robert Bradshaw William Stein
+	Arithmetic geometry : Clay Mathematics Institute Summer School, Arithmetic Geometry, July 17-August 11, 2006, Mathematisches Institut, Georg-August-Universität, Göttingen, Germany	2009	Henri Darmon
+ PDF Chat	Arithmetic Algebraic Geometry	2008	Brian Conrad Karl Rubin
+	Heights of points on elliptic curves over $\mathbb Q$	2020	Michael Griffin Ken Ono Wei‐Lun Tsai
+	Heights of points on elliptic curves over $\mathbb Q$	2020	Michael J. Griffin Ken Ono Wei‐Lun Tsai
+	Topics in the theory of p-adic heights on elliptic curves	2019	Francesca Bianchi

Works That Cite This (11)

Action	Title	Year	Authors
+ PDF Chat	Two restricted ABC conjectures	2020	Machiel van Frankenhuijsen
+	Yang-Mills Theory and the ABC Conjecture	2016	Yang‐Hui He Zhi Hu Malte Probst James Read
+	Explicit Estimates in Inter-universal Teichmüller Theory	2020	Shinichi Mochizuki Ivan Fesenko Yuichiro Hoshi Arata Minamide Wojciech Porowski
+ PDF Chat	Arithmetic deformation theory via arithmetic fundamental groups and nonarchimedean theta-functions, notes on the work of Shinichi Mochizuki	2015	Ivan Fesenko
+	On Mochizuki's idea of Anabelomorphy and its applications	2020	Kirti Joshi
+	A height inequality for rational points on elliptic curves implied by the abc-conjecture	2012	Ulf Kühn J. Steffen Müller
+ PDF Chat	Yang–Mills theory and the ABC conjecture	2018	Yang‐Hui He Zhi Hu Malte Probst James Read
+	Distribution of Non-Wieferich primes in certain algebraic groups under ABC	2020	Subham Bhakta
+	Two Restricted ABC Conjectures.	2020	Machiel van Frankenhuijsen
+	Effectivity in Mochizuki's work on the $abc$-conjecture	2016	Vesselin Dimitrov

Works Cited by This (11)

Action	Title	Year	Authors
+	Noncritical Belyi Maps	2004	Shinichi Mochizuki
+	Riemann's Zeta Function	1974	Harold M. Edwards
+ PDF Chat	Galois Sections in Absolute Anabelian Geometry	2005	Shinichi Mochizuki
+ PDF Chat	Absolute anabelian cuspidalizations of proper hyperbolic curves	2007	Shinichi Mochizuki
+	Heights and Elliptic Curves	1986	Joseph H. Silverman
+	Endlichkeitss�tze f�r abelsche Variet�ten �ber Zahlk�rpern	1983	Герд Фалтингс
+	Abelian l-Adic Representations and Elliptic Curves	1997	Jean-Pierre Serre
+	Bornes pour la torsion des courbes elliptiques sur les corps de nombres	1996	Lo x EF c Merel
+	The ABC Conjecture Implies Vojta's Height Inequality for Curves	2002	Machiel van Frankenhuysen
+	None	1991	Noam D. Elkies