Large rational torsion on abelian varieties

A method of searching for large rational torsion on Abelian varieties is described. A few explicit applications of this method over Q give rational 11- and 13-torsion in dimension 2, and rational 29-torsion in dimension 4.

書誌詳細
第一著者:	Flynn, E
フォーマット:	Journal article
出版事項:	1990

類似資料

LARGE RATIONAL TORSION ON ABELIAN-VARIETIES
著者:: Flynn, E
出版事項: (1990)

Sequences of rational torsions on abelian varieties
著者:: Flynn, E
出版事項: (1991)

SEQUENCES OF RATIONAL TORSIONS ON ABELIAN-VARIETIES
著者:: Flynn, E
出版事項: (1991)

Arbitrarily large 2-torsion in Tate-Shafarevich groups of Abelian varieties
著者:: Flynn, E
出版事項: (2019)

Rational torsion points on abelian surfaces with quaternionic multiplication
著者:: Jef Laga, 等
出版事項: (2024-01-01)

Computable torsion abelian groups
著者:: Melnikov, Alexander G., 等
出版事項: (2020)

Descent Via Isogeny on Elliptic Curves with Large Rational Torsion Subgroups.
著者:: Flynn, E, 等
出版事項: (2008)

Descent via isogeny on elliptic curves with large rational torsion subgroups.
著者:: Flynn, E, 等
出版事項: (2008)

The group of homomorphisms of abelian torsion groups
著者:: M. W. Legg
出版事項: (1979-01-01)

Estimates for the number of rational points on simple abelian varieties over finite fields
著者:: Kadets, Borys
出版事項: (2021)

Arbitrarily large Tate–Shafarevich group on Abelian surfaces
著者:: Flynn, E
出版事項: (2017)

Moduli of Abelian varieties /
著者:: Faber, C., (Carel), 1962-, 等
出版事項: (2001)

Complex Abelian varieties /
著者:: 382075 Birkenhake, Christina, 等
出版事項: (2004)

Analytic theory of abelian varieties /
著者:: 361109 Swinnerton-Duer, H. P. F.
出版事項: (1974)

Abelian varieties with isogenous reductions
著者:: Khare, Chandrashekhar B., 等
出版事項: (2021-01-01)

On Undecidability of Finite Subsets Theory for Torsion Abelian Groups
著者:: Sergey Mikhailovich Dudakov
出版事項: (2022-02-01)

Real abelian varieties with complex multiplication
著者:: , HUISMAN, Johannes, 等
出版事項: (1992)

ABELIAN-BY-NILPOTENT VARIETIES OF LIE-ALGEBRAS
著者:: Vaughanlee, M
出版事項: (1975)

Abelian Function Fields on Jacobian Varieties
著者:: Julia Bernatska
出版事項: (2025-01-01)

Free dihedral actions on abelian varieties
著者:: Bruno Aguiló Vidal
出版事項: (2021-08-01)

Abelian group in a topos of sheaves: torsion and essential extensions
著者:: Kiran R. Bhutani
出版事項: (1989-01-01)

On Some Results of a Torsion-Free Abelian Trace Group
著者:: Ricky B. Villeta
出版事項: (2014-12-01)

On Some Results of a Torsion-Free Abelian Kernel Group
著者:: Ricky B. Villeta
出版事項: (2014-12-01)

Higher Analytic Torsion, Polylogarithms and Norm Compatible Elements on Abelian Schemes
著者:: Kings, G, 等
出版事項: (2017)

Higher Ramanujan equations and periods of abelian varieties
著者:: Fonseca, TJ
出版事項: (2022)

The field of moduli of quaternionic multiplication on abelian varieties
著者:: Victor Rotger
出版事項: (2004-01-01)

SINGULARITIES OF THE BIEXTENSION METRIC FOR FAMILIES OF ABELIAN VARIETIES
著者:: JOSÉ IGNACIO BURGOS GIL, 等
出版事項: (2018-01-01)

Abelian varieties over fields of finite characteristic
著者:: Zarhin Yuri
出版事項: (2014-05-01)

On subgroups of semi-abelian varieties defined by difference equations
著者:: Chatzidakis, Z, 等
出版事項: (2016)

On the geometric meaning of the non-abelian Reidemeister torsion of cusped hyperbolic 3-manifolds
著者:: Siejakowski, Rafał, M.
出版事項: (2017)

Abelian varieties isogenous to a power of an elliptic curve
著者:: Jordan, Bruce W., 等
出版事項: (2020)

Almost ordinary abelian varieties over finite fields
著者:: Oswal, Abhishek, 等
出版事項: (2022)

Angehrn-Siu-Helmke’s method applied to abelian varieties
著者:: Zhi Jiang
出版事項: (2023-01-01)

The groups of points on abelian varieties over finite fields
著者:: Rybakov Sergey
出版事項: (2010-04-01)

Arbitrarily large p-torsion in Tate-Shafarevich groups
著者:: Flynn, E, 等
出版事項: (2024)

Solving logistic tasks by parallelizing algorithms of the theory of direct decompositions of torsion-free abelian groups
著者:: Blagoveshchenskaya E., 等
出版事項: (2023-01-01)

Torsion locally nilpotent groups with non-Dedekind norm of Abelian non-cyclic subgroups
著者:: T.D. Lukashova, 等
出版事項: (2022-06-01)

A Note on the Square Subgroups of Decomposable Torsion-Free Abelian Groups of Rank Three
著者:: Woronowicz Mateusz
出版事項: (2018-09-01)

Theta functions and division points on Abelian varieties of dimension two
著者:: Grant, David R., MD, FRCSC
出版事項: (2018)

Identifying central endomorphisms of an abelian variety via Frobenius endomorphisms
著者:: Costa, Edgar, 等
出版事項: (2021)