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.

Bibliografiske detaljer
Hovedforfatter:	Flynn, E
Format:	Journal article
Udgivet:	1990

Lignende værker

LARGE RATIONAL TORSION ON ABELIAN-VARIETIES
af: Flynn, E
Udgivet: (1990)

Sequences of rational torsions on abelian varieties
af: Flynn, E
Udgivet: (1991)

SEQUENCES OF RATIONAL TORSIONS ON ABELIAN-VARIETIES
af: Flynn, E
Udgivet: (1991)

Arbitrarily large 2-torsion in Tate-Shafarevich groups of Abelian varieties
af: Flynn, E
Udgivet: (2019)

Rational torsion points on abelian surfaces with quaternionic multiplication
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Udgivet: (2024-01-01)

Computable torsion abelian groups
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Udgivet: (2020)

Descent Via Isogeny on Elliptic Curves with Large Rational Torsion Subgroups.
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Udgivet: (2008)

Descent via isogeny on elliptic curves with large rational torsion subgroups.
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Udgivet: (2008)

The group of homomorphisms of abelian torsion groups
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Udgivet: (1979-01-01)

Estimates for the number of rational points on simple abelian varieties over finite fields
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Udgivet: (2021)

Arbitrarily large Tate–Shafarevich group on Abelian surfaces
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On Undecidability of Finite Subsets Theory for Torsion Abelian Groups
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Abelian Function Fields on Jacobian Varieties
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Udgivet: (2025-01-01)

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Abelian group in a topos of sheaves: torsion and essential extensions
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Udgivet: (1989-01-01)

On Some Results of a Torsion-Free Abelian Trace Group
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Udgivet: (2014-12-01)

On Some Results of a Torsion-Free Abelian Kernel Group
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Udgivet: (2014-12-01)

Higher Analytic Torsion, Polylogarithms and Norm Compatible Elements on Abelian Schemes
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On subgroups of semi-abelian varieties defined by difference equations
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Udgivet: (2016)

On the geometric meaning of the non-abelian Reidemeister torsion of cusped hyperbolic 3-manifolds
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Udgivet: (2020)

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Udgivet: (2022)

Angehrn-Siu-Helmke’s method applied to abelian varieties
af: Zhi Jiang
Udgivet: (2023-01-01)

The groups of points on abelian varieties over finite fields
af: Rybakov Sergey
Udgivet: (2010-04-01)

Arbitrarily large p-torsion in Tate-Shafarevich groups
af: Flynn, E, et al.
Udgivet: (2024)

Solving logistic tasks by parallelizing algorithms of the theory of direct decompositions of torsion-free abelian groups
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Udgivet: (2023-01-01)

Torsion locally nilpotent groups with non-Dedekind norm of Abelian non-cyclic subgroups
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Udgivet: (2022-06-01)

A Note on the Square Subgroups of Decomposable Torsion-Free Abelian Groups of Rank Three
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Udgivet: (2018-09-01)

Theta functions and division points on Abelian varieties of dimension two
af: Grant, David R., MD, FRCSC
Udgivet: (2018)

Identifying central endomorphisms of an abelian variety via Frobenius endomorphisms
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Udgivet: (2021)