Algebraic solution of the Jacobi inverse problem and explicit addition laws

Fuente: arXiv
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Autor principal: Kopeliovich, Yaacov
Formato: Preprint
Publicado: 2025
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author Kopeliovich, Yaacov
author_facet Kopeliovich, Yaacov
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2502_00469
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Algebraic solution of the Jacobi inverse problem and explicit addition laws
Kopeliovich, Yaacov
Complex Variables
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.
title Algebraic solution of the Jacobi inverse problem and explicit addition laws
topic Complex Variables
url https://arxiv.org/abs/2502.00469