Cox rings of K3 surfaces with Picard number two
نویسنده
چکیده
We study presentations 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 surfaces containing a line and doubly elliptic K3 surfaces.
منابع مشابه
The Cox Ring of a K3 Surface with Picard Number Two
We study generators and relations for Cox rings of K3 surfaces of Picard number 2. The main results are explicit descriptions of the Cox rings when X is a double cover of P ramified over a sextic with a tritangent, a quartic surface in P with a line or a K3 surface with intersection matrix
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We study Cox rings of K3-surfaces. A first result is that a K3surface has a finitely generated Cox ring if and only if its effective cone is rational polyhedral. Moreover, we investigate degrees of generators and relations for Cox rings of K3-surfaces of Picard number two, and explicitly compute the Cox rings of generic K3-surfaces with a non-symplectic involution that have Picard number 2 to 5...
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