Cubic differential forms and the group law on the Jacobian of a real algebraic curve
J. Huisman (2003)
Bollettino dell'Unione Matematica Italiana
Similarity:
In an earlier paper [6], we gave an explicit geometric description of the group law on the neutral component of the set of real points of the Jacobian of a smooth quartic curve. Here, we generalize this description to curves of higher genus. We get a description of the group law on the neutral component of the set of real points of the Jacobian of a smooth curve in terms of cubic differential forms. When applied to canonical curves, one gets an explicit geometric description of this...