On the Jacobian Varieties of Picard curves: Explicit addition law and algebraic structure

Authors
Sarlabous, JE Barreiro, ER Barcelo, JAP
Citation
Je. Sarlabous et al., On the Jacobian Varieties of Picard curves: Explicit addition law and algebraic structure, MATH NACHR, 208, 1999, pp. 149-166
Citations number
16
Categorie Soggetti
Mathematics
Journal title
MATHEMATISCHE NACHRICHTEN
ISSN journal
0025584X → ACNP
Volume
208
Year of publication
1999
Pages
149 - 166
Database
ISI
SICI code
0025-584X(1999)208:<149:OTJVOP>2.0.ZU;2-L
Abstract
In this paper a system of coordinates for the effective divisors on the Jac obian Variety of a: Picard curve is presented. These coordinates possess a nice geometric interpretation and provide us with an unifying environment t o obtain an explicit structure of algebraic variety on the Jacobian as well as an efficient algorithm for the addition of divisors.