Some non-finitely generated Cox rings
Algebraic Geometry
2019-02-20 v1 Commutative Algebra
Abstract
We give a large family of weighted projective planes, blown up at a smooth point, that do not have finitely generated Cox rings. We then use the method of Castravet and Tevelev to prove that the moduli space of stable n-pointed genus zero curves does not have a finitely generated Cox ring if n is at least 13.
Cite
@article{arxiv.1407.6344,
title = {Some non-finitely generated Cox rings},
author = {José Luis González and Kalle Karu},
journal= {arXiv preprint arXiv:1407.6344},
year = {2019}
}
Comments
14 pages, 2 figures