On the Cox ring of P^2 blown up in points on a line
Algebraic Geometry
2010-03-03 v5
Abstract
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.
Cite
@article{arxiv.0901.4277,
title = {On the Cox ring of P^2 blown up in points on a line},
author = {John Christian Ottem},
journal= {arXiv preprint arXiv:0901.4277},
year = {2010}
}
Comments
7 pages, Final version, to appear in Math. Scand