2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73090In this paper we consider coherent systems $(E,V)$ on an elliptic curve which are stable with respect to some value of a parameter $α$. We show that the corresponding moduli spaces, if non-empty, are smooth and irreducible of the expected dimenson. Moreover we give precise conditions for non-emptiness of the moduli spaces. Finally we study the variation of the moduli spaces with $α$.Final version with some improvements in the presentation and an additional referenceAlgebraic Geometry14H60;14F05;32L10text