The group law for the Jacobi variety of plane curves

Details The group law for the Jacobi variety of plane curves The group law for the Jacobi variety of plane curves

2005-09-27

arxiv.org/abs/math/0509631v1

Mathematics

Algebraic Geometry

14 pages

Scientific paper

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.

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