The group law for the Jacobi variety of plane curves
Algebraic Geometry
2007-05-23 v1
Abstract
We extend the group law of curves of degree three by chords and tangents to the Jacobi variety of plane curves of degree n>4 by replacing points by point groups and lines by algebraic curves. The curves are nonsingular or have simple singularities. In the cases n=4,5,6 we have a close analogy to the case n=3. We describe an algorithm using Groebner bases.
Cite
@article{arxiv.math/0509631,
title = {The group law for the Jacobi variety of plane curves},
author = {Frank Leitenberger},
journal= {arXiv preprint arXiv:math/0509631},
year = {2007}
}
Comments
14 pages