A Geometric Interpretation of Reduction in the Jacobians of C ab Curves

Régis Blache, Jorge Estrada Sarlabous & Maria Petkova
In this paper, we show that the reduction of divisors in the Jacobian of a curve $C$ can be performed by considering the intersections of a suitable projective model of $C$ with quadrics in projective space. We apply this idea to certain projective model of elliptic and hyperelliptic curves on one hand, and to the canonical model of $C_{ab}$ curves on the other hand, and we generalize (and recover) some well known algorithms.
This data repository is not currently reporting usage information. For information on how your repository can submit usage information, please see our documentation.