Cubic differential forms and the group law on the Jacobian of a real algebraic curve
Bollettino della Unione matematica italiana, Série 8, 6B (2003) no. 3, pp. 597-604
Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica
Zbl MR
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 group law by intersecting the curve with cubic hypersurfaces.
Huisman, J. Cubic differential forms and the group law on the Jacobian of a real algebraic curve. Bollettino della Unione matematica italiana, Série 8, 6B (2003) no. 3, pp. 597-604. http://geodesic.mathdoc.fr/item/BUMI_2003_8_6B_3_a6/
@article{BUMI_2003_8_6B_3_a6,
author = {Huisman, J.},
title = {Cubic differential forms and the group law on the {Jacobian} of a real algebraic curve},
journal = {Bollettino della Unione matematica italiana},
pages = {597--604},
year = {2003},
volume = {Ser. 8, 6B},
number = {3},
zbl = {1112.14035},
mrnumber = {MR2014821},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BUMI_2003_8_6B_3_a6/}
}
TY - JOUR AU - Huisman, J. TI - Cubic differential forms and the group law on the Jacobian of a real algebraic curve JO - Bollettino della Unione matematica italiana PY - 2003 SP - 597 EP - 604 VL - 6B IS - 3 UR - http://geodesic.mathdoc.fr/item/BUMI_2003_8_6B_3_a6/ LA - en ID - BUMI_2003_8_6B_3_a6 ER -