On hyperplane sections of K3 surfaces - Andrea Bruno (Roma tre)
Seminario di Geometria
Dettagli dell'evento
Quando
27/01/2016
dalle 11:00 alle 12:30
dalle 11:00 alle 12:30
Dove
Aula 1 - Dipartimento di Matematica e Informatica
Persona di riferimento
Massimiliano Mella
I will talk about joint work with E. Arbarello and E. Sernesi and with
E. Arbarello, G. Farkas and G. Saccà.
Which canonically embedded curves are hyperplane sections of K3
surfaces? In the first work, following conjectures of Wahl, Mukai and
Voisin, we give a complete characterization of curves which are hyperplane
sections of K3 surfaces (or of limits of such). This involves proving
two conjectures stated by Wahl in 1997.
In the second work we we find an explicit family of curves, of any
given genus, satisfying the Brill-Noether-Petri condition.