On the one-dimensional family of Riemann surfaces of genus q with 4q automorphisms
Abstract
Bujalance, Costa and Izquierdo have recently proved that all those Riemann surfaces of genus g 2 different from 3, 6, 12, 15 and 30, with exactly 4g automorphisms form an equisymmetric one-dimensional family, denoted by Fg. In this paper, for every prime number q 5, we explore further properties of each Riemann surface S in Fq as well as of its Jacobian variety JS.
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