Implementing 2-descent for Jacobians of hyperelliptic curves

Michael Stoll

The search session has expired. Please query the service again.

Displaying similar documents to “Implementing 2-descent for Jacobians of hyperelliptic curves”

Form Factors, KdV and Deformed Hyperelliptic Curves

O. Babelon, D. Bernard, F. A. Smirnov (1997)

Recherche Coopérative sur Programme n°25

Similarity:

Decomposing Jacobians of curves with extra automorphisms

Jennifer Paulhus (2008)

Acta Arithmetica

Similarity:

Certain maximal curves and Cartier operators

Arnaldo Garcia, Saeed Tafazolian (2008)

Acta Arithmetica

Similarity:

Tuples of hyperelliptic curves y² = xⁿ+a

Tomasz Jędrzejak, Jaap Top, Maciej Ulas (2011)

Acta Arithmetica

Similarity:

Descent via (3,3)-isogeny on Jacobians of genus 2 curves

Nils Bruin, E. Victor Flynn, Damiano Testa (2014)

Acta Arithmetica

Similarity:

We give a parametrization of curves C of genus 2 with a maximal isotropic (ℤ/3)² in J[3], where J is the Jacobian variety of C, and develop the theory required to perform descent via (3,3)-isogeny. We apply this to several examples, where it is shown that non-reducible Jacobians have non-trivial 3-part of the Tate-Shafarevich group.