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math.AG2009
Cox rings of K3 surfaces with Picard number two
John Christian Ottem
We study generators and relations of Cox rings of K3 surfaces of Picard number two. In particular we consider the Cox rings of classical examples of K3 surfaces, such as quartic su…
math.AG2009★ 3 cited
On the Cox ring of P^2 blown up in points on a line
John Christian Ottem
We show that the blow-up of P^2 in n points on a line has finitely generated Cox ring. We give explicit generators for the ring and calculate its defining ideal of relations.