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Title:
On hyperplane sections of K3 surfaces
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Abstract:
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 find an explicit family of curves, of any given genus, satisfying the Brill-Noether-Petri condition.
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