Vorträge in der Woche 14.07.2008 bis 20.07.2008

Montag, 14.07.2008: Cox rings of K3 surfaces

Prof. Antonio Laface

The Cox ring of a smooth algebraic projective variety X is the direct sum of H 0(X,D) as D varies in the Picard group of X. It is known that Cox(X) is a polynomial ring if and only if X is a toric variety and recently it has been proved that Cox rings of Del Pezzo surfaces are quadratic algebras. The aim of this talk is to show some new results about Cox rings of K3 surfaces. This is joint work with Michela Artebani.