Galois properties of torsion points on abelian varieties

Nicholas M. Katz

Type: Article

Publication Date: 1980-10-01

Citations: 147

DOI: https://doi.org/10.1007/bf01394256

View Publication

Locations

Inventiones mathematicae - View

Similar Works

Action	Title	Year	Authors
+	Torsion points on elliptic curves and galois module structure	1996	A. Agboola
+	Projective classes of torsion free Abelian groups	1982	C. Vinsonhaler W. Wickless
+	The groups of points on abelian varieties over finite fields	2010	Рыбаков Сергей Юрьевич
+	Torsion of abelian varieties over large algebraic fields	2004	Wulf-Dieter Geyer Moshe Jarden
+	Torsion of Abelian varieties of finite characteristic	1977	Yu. G. Zarkhin
+	Torsion points on elliptic curves over fields of low degree	1989	S. Kamienny
+	On Galois representations defined by torsion points of modular elliptic curves	1992	Pilar Báyer Joan-C. Lario
+	Orders of torsion points of elliptic curves	1985	V. A. Dem’yanenko
+	Torsion Points on CM Abelian Varieties	2006	Noboru Aoki
+	Torsion points on abelian varieties of CM-type	1988	Alice Silverberg
+ PDF Chat	Sequences of rational torsions on abelian varieties	1991	E. V. Flynn
+	Transcendental and algebraic points on group varieties	1968	Allen Altman
+	Galois points on curves and surfaces	2003	剛高橋
+ PDF Chat	Explicit Classification for Torsion Subgroups of Rational Points of Elliptic Curves	2002	De Rong Qiu Xian Ke Zhang
+	Abelian varieties over function fields : metric aspects of torsion points and applications	2023	Lilian Saligue
+	Torsion points on elliptic curves over a global field	1979	Horst G. Zimmer
+	Galois cohomology of algebraic number fields	1978	Klaus Haberland Helmut Koch Thomas Zink
+	Families of Elliptic Curves and Geometric Properties of Torsion Points	2006
+	Torsion points on elliptic curves over all quadratic fields	1986	S. Kamienny
+	Torsion points on modular curves	2000	Matthew Baker

Works That Cite This (144)

Action	Title	Year	Authors
+	Quadratic points on modular curves	2018	Ekin Özman Samir Siksek
+ PDF Chat	Semistable abelian varieties over Q	2004	Frank Calegari
+	On Ribet’s isogeny for $J_0(65)$	2017	Krzysztof Klosin Mihran Papikian
+ PDF Chat	Local-global questions for divisibility in commutative algebraic groups	2022	Roberto Dvornicich Laura Paladino
+	Quadratic points on bielliptic modular curves	2022	Filip Najman Borna Vukorepa
+	Gonality of the modular curve 𝑋₀(𝑁)	2023	Filip Najman Petar Orlić
+ PDF Chat	On a local-global principle for quadratic twists of abelian varieties	2022	Francesc Fité
+ PDF Chat	Two-torsion subgroups of some modular Jacobians	2024	Elvira Lupoian
+ PDF Chat	Minimal Torsion in Isogeny Classes of Elliptic Curves	1994	R. Ross
+ PDF Chat	A local-global principle for isogenies of prime degree over number fields	2014	Samuele Anni

Works Cited by This (4)

Action	Title	Year	Authors
+	Good Reduction of Abelian Varieties	1968	Jean-Pierre Serre John Tate
+	Abelian l-Adic Representations and Elliptic Curves	1997	Jean-Pierre Serre
+	On ℓ-adic representations and congruences for coefficients of modular forms (II)	1977	H. P. F. Swinnerton-Dyer
+	Representation Theory of Finite Groups and Associative Algebras.	1965	F. E. J. Linton Charles W. Curtis Irving Reiner