Sequences of rational torsions on abelian varieties

DOI10.1007/BF01243919zbMath0788.14040MaRDI QIDQ1191372

E. Victor Flynn

Publication date: 27 September 1992

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143948

zbMATH Keywords

jacobian varietiesfamilies of curves of higher genusrational torsions

Mathematics Subject Classification ID

Rational points (14G05) Picard schemes, higher Jacobians (14K30) Jacobians, Prym varieties (14H40)

Related Items

On certain torsion subgroups of Jacobians of hyperelliptic curves of genus \(g \geq 1\), On the analogue of the division polynomials for hyperelliptic curves., Weierstrass semigroups from cyclic covers of hyperelliptic curves, Computing torsion subgroups of Jacobians of hyperelliptic curves of genus 3, Continued fractions for rational torsion, Torsion on families of curves of genus \(g\), 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, Curves of genus 2 with a rational torsion divisor of order 23, Combinatoire des arbres planaires et arithmétique des courbes hyperelliptiques. (Combinatorics of planar trees and arithmetics of hyperelliptic curves)

Cites Work

• Torsion points on elliptic curves over all quadratic fields
• On the integration of algebraic functions
• On the fractional parts of {x/n} and related sequences. II, III
• Large rational torsion on abelian varieties
• Explicit determination of nontrivial torsion structures of elliptic curves over quadratic number fields
• On the arithmetic of abelian varieties
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