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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.