Examples of non-finitely generated Cox rings
Algebraic Geometry
2017-08-31 v1 Commutative Algebra
Abstract
We bring examples of toric varieties blown up at a point in the torus that do not have finitely generated Cox rings. These examples are generalizations of previous work where toric surfaces of Picard number 1 were studied. In this article we consider toric varieties of higher Picard number and higher dimension. In particular, we bring examples of weighted projective 3-spaces blown up at a point that do not have finitely generated Cox rings.
Cite
@article{arxiv.1708.09064,
title = {Examples of non-finitely generated Cox rings},
author = {José Luis González and Kalle Karu},
journal= {arXiv preprint arXiv:1708.09064},
year = {2017}
}
Comments
20 pages, 3 figures