Room P4.35, Mathematics Building

Elisa Tenni
Clifford theorem for singular curves and some applications

I will discuss a generalization of the classical Clifford's theorem to singular curves, reducible or non reduced. I will prove that for 2-connected curves a Clifford-type inequality holds for a vast set of torsion free rank one sheaves. I intend to show that our assumptions on the sheaves are the most natural when working with this kind of results. I will moreover show that this result has many applications to the study of the canonical morphism of a singular curve, in particular that it implies a generalization of the classical Noether's theorem to 3-connected curves. This is a joint work with M. Franciosi.