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arXiv · 2006.11838

Addition via reduction algorithm on trigonal curves

Julia Bernatska·Yaacov Kopeliovich
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Abstract

In this paper we propose a direct and explicit realization of addition of divisors by means of an iterative reduction algorithm. Each iteration of the algorithm is the reduction of a degree $g+1$ divisor to a divisor of degree~$g$. Such an approach allows to carry out all computations explicitly in a symbolic form, which is done for curves $C_{3,4}$, $C_{3,5}$ in this paper, and also for curves of higher genera up to $C_{3,13}$, $C_{3,14}$.

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Julia Bernatska, Yaacov Kopeliovich. 2020-06-21. Addition via reduction algorithm on trigonal curves. https://arxiv.org/abs/2006.11838

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