Computing the Mordell-Weil Rank of Jacobians of Curves of Genus Two
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Publication:4201485
DOI10.2307/2154244zbMath0790.14028OpenAlexW4253013615MaRDI QIDQ4201485
Publication date: 25 August 1993
Full work available at URL: https://doi.org/10.2307/2154244
Computer solution of Diophantine equations (11Y50) Special algebraic curves and curves of low genus (14H45) Jacobians, Prym varieties (14H40) Computational aspects of algebraic curves (14Q05) Arithmetic ground fields for abelian varieties (14K15) Riemann surfaces; Weierstrass points; gap sequences (14H55)
Related Items
Homogeneous spaces and degree 4 del Pezzo surfaces, On a theorem of Coleman, Cycles of quadratic polynomials and rational points on a genus-2 curve, Algebraic points on the curve of affine equation \(y^2 = x(x-3)(x-4)(x-6)(x-7)\), An Explicit Theory of Heights, Equations for the Jacobian of a hyperelliptic curve, Application of the method of Dem'yanenko-Manin to certain families of curves of genus 2 or 3, Algebraic cycles and the mixed Hodge structure on the fundamental group of a punctured curve, Good rings and homogeneous polynomials
Cites Work
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- Diophantine approximation on abelian varieties
- Hyperelliptic cryptosystems
- Lower bound for the canonical height on elliptic curves
- Siegel's theorem in the compact case
- Primality testing and Abelian varieties over finite fields
- Rational isogenies of prime degree. (With an appendix by D. Goldfeld)
- On the equations defining Abelian varieties. I-III
- On Heterogeneous Spaces
- The Jacobian and formal group of a curve of genus 2 over an arbitrary ground field
- Formal groups in genus two.
- Arithmetic on curves
- Computing in the Jacobian of a Hyperelliptic Curve
- Elliptic Curve Cryptosystems
- Diophantine Equations with Special Reference To Elliptic Curves
