2005-10-20Buch DOI: 10.18452/2519
On the Jacobian Varieties of Picard curves
explicit Addition Law and Algebraic Structure
In this paper a system of coordinates for the effective divisors on the Jacobian Variety of a Picard curve is presented. These coordinates possess a nice geometric interpretation and provide us with an unifying environment to obtain an explicit structure of algebraic variety on the Jacobian as well as an effcient algorithm for the addition of divisors.
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