5 citations · 17 across the 21 of their papers we have counts for
6 papers · 1 filter
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…
Addition of Divisors on Hyperelliptic Curves via Interpolation Polynomials
Julia Bernatska, Yaacov Kopeliovich
Two problems are addressed: reduction of an arbitrary degree non-special divisor to the equivalent divisor of the degree equal to genus of a curve, and addition of divisors of arbi…
Thomae's Derivative Formulae for Trigonal Curves
Victor Enolski, Yaacov Kopeliovich, Shaul Zemel
In this paper we prove a Thomae derivative formula for trigonal curves admitting a non-singular affine model. This formula relates the derivatives of theta functions with rational…
Thomae formula for Abelian covers of
Yaacov Kopeliovich, Shaul Zemel
Abelian covers of , with fixed Galois group , are classified, as a first step, by a discrete set of parameters. Any such cover , of genus say, carri…
On Spaces Associated with Invariant Divisors on Galois Covers of Riemann Surfaces and Their Applications
Yaacov Kopeliovich, Shaul Zemel
Let be a Galois cover of Riemann surfaces, with Galois group . In this paper we analyze the -invariant divisors on , and their associated spaces of meromorphic…
On theta functions of order four
Yaacov Kopeliovich, Christian Pauly, Olivier Serman
We prove that the fourth powers of theta functions with even characteristics form a basis of the space of even theta functions of order four on a principally polarized Abelian vari…