8 jun 2018 -- 14:30
Aula Dal Passo, Dip.Matematica, Università "Tor Vergata", Roma
Abstract.
Let (E,V) be a general generated coherent system of type (n,d,n+m) on a general non-singular irreducible complex projective curve. A conjecture of D. C. Butler relates the semistability of E to the semistability of the kernel of the evaluation map V×OX→E. In this talk, some results will be given about the existence of generated coherent systems and a necessary condition is given for the Butler conjecture to be satisfied.