Algebraic solution of the Jacobi inverse problem and explicit addition laws
Complex Variables
2025-02-04 v1
Abstract
We formulate a solution to the Algebraic version of the Inverse Jacobi problem. Using this solution we produce explicit addition laws on any algebraic curve generalizing the law suggested by Leykin [2] in the case of (n, s) curves. This gives a positive answer to a question asked by T. Shaska whether addition laws appearing in [2] can be produced in a coordinate free manner.
Cite
@article{arxiv.2502.00469,
title = {Algebraic solution of the Jacobi inverse problem and explicit addition laws},
author = {Yaacov Kopeliovich},
journal= {arXiv preprint arXiv:2502.00469},
year = {2025}
}