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math.AG2020
New generalisation of Jacobi's derivative formula
Julia Bernatska
A stream of new theta relations is obtained. They follow from the general Thomae formula, which is a new result giving expressions for theta derivatives (the zero values of the low…
math.AG2020
Addition via reduction algorithm on trigonal curves
Julia Bernatska, Yaacov Kopeliovich
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…