Resumen de On low degree curves in C(2)

Meritxell Sáez Cornellana

• This thesis studies curves in the symmetric square of a curve, C(2). We characterize them, study their immersion in C(2) and deduce properties of the curve C from the existence of curves in C(2) of specific type. In addition, we give a characterization of C(n), for n general, by the existence of certain subvarieties with particular properties.