On the Cox Ring of P2 Blown up in Several Points on a Line

Abstract

We show that the surface X, which is a blow-up of P 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. 

Topics

1 Figure or Table

Cite this paper

@inproceedings{Ottem2009OnTC, title={On the Cox Ring of P2 Blown up in Several Points on a Line}, author={John Christian Ottem}, year={2009} }