272 citations
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3 papers · 1 filter
math.AG2008
A survey on Cox rings
Antonio Laface, Mauricio Velasco
We survey the construction of the Cox ring of an algebraic variety X and study the birational geometry of X when its Cox ring is finitely generated.
math.AG2008
Non-symplectic automorphisms of order 3 on K3 surfaces
Michela Artebani, Alessandra Sarti
In this paper we study K3 surfaces with a non-symplectic automorphism of order 3. In particular, we classify the topological structure of the fixed locus of such automorphisms and…
math.AG2007★ 3 cited
Picard-graded Betti numbers and the defining ideals of Cox rings
Antonio Laface, Mauricio Velasco
Let X be a smooth projective variety with torsion-free Picard group. We introduce complexes of vector spaces whose homology determines the structure of the minimal free resolution…