Explicit Constructions for Genus 3 Jacobians
arXiv:0904.4537
Abstract
Given a canonical genus three curve , we construct, emulating Mumford discussion for hyperelliptic curves, a set of equations for an affine open subset of the jacobian . We give explicit algorithms describing the law group in . Finally we introduce a related construction by means of an imbedding of the open set previously described in a Grassmanian variety.
12 pages