The arithmetic-geometric mean and isogenies for curves of higher genus

zbMath0962.14021arXivalg-geom/9712027MaRDI QIDQ4944048

Ron Y. Donagi, Ron A. Livné

Publication date: 21 June 2001

Full work available at URL: https://arxiv.org/abs/alg-geom/9712027

zbMATH Keywords

Prym varietiesarithmetic-geometric meanisogeny of Jacobians of curves

Mathematics Subject Classification ID

Jacobians, Prym varieties (14H40) Isogeny (14K02) Special divisors on curves (gonality, Brill-Noether theory) (14H51)

Related Items (7)

Correspondences on Hyperelliptic Curves and Applications to the Discrete Logarithm ⋮ Hyperelliptic integrals and generalized arithmetic-geometric mean ⋮ Isogenies and the Discrete Logarithm Problem in Jacobians of Genus 3 Hyperelliptic Curves ⋮ Translating the discrete logarithm problem on Jacobians of genus 3 hyperelliptic curves with \((\ell ,\ell ,\ell)\)-isogenies ⋮ Curves, Jacobians, and cryptography ⋮ Isogenies and the discrete logarithm problem in Jacobians of genus 3 hyperelliptic curves ⋮ Gluing curves of genus 1 and 2 along their 2-torsion

Cites Work

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• Prym varieties and the geodesic flow on \(\mathrm{SO}(n)\)
• The arithmetic-geometric mean of Gauss
• Prym varieties and Schottky problem
• The fibers of the Prym map
• Theta characteristics of an algebraic curve

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