Large rational torsion on abelian varieties

DOI10.1016/0022-314X(90)90089-AzbMath0757.14025MaRDI QIDQ1813313

E. Victor Flynn

Publication date: 25 June 1992

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

rational pointslarge rational torsion on abelian varieties

Mathematics Subject Classification ID

Rational points (14G05) Abelian varieties of dimension (> 1) (11G10) Abelian varieties and schemes (14K99)

Related Items (11)

Unnamed Item ⋮ Purely additive reduction of abelian varieties with torsion ⋮ Torsion and Tamagawa numbers ⋮ An infinite family of curves of genus 2 over the field of rational numbers whose Jacobian varieties contain rational points of order 28 ⋮ Sequences of rational torsions on abelian varieties ⋮ Continued fractions for rational torsion ⋮ Genus-2 Jacobians with torsion points of large order ⋮ Rational torsion of \(J_0(N)\) for hyperelliptic modular curves and families of Jacobians of genus 2 and genus 3 curves with a rational point of order 5, 7 or 10 ⋮ Computing the Abel map ⋮ Curves of genus 2 with a rational torsion divisor of order 23 ⋮ A type of hyperelliptic continued fraction

Cites Work

• Formal groups in genus two.
• Explicit determination of nontrivial torsion structures of elliptic curves over quadratic number fields
• Computing in the Jacobian of a Hyperelliptic Curve
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