Factorially graded rings of complexity one
Algebraic Geometry
2013-05-15 v3
Abstract
We consider finitely generated normal algebras over an algebraically closed field of characteristic zero that come with a complexity one grading by a finitely generated abelian group such that the conditions of a UFD are satisfied for homogeneous elements. Our main results describe these algebras in terms of generators and relations. We apply this to write down explicitly the possible Cox rings of normal complete rational varieties with a complexity one torus action.
Cite
@article{arxiv.1005.4194,
title = {Factorially graded rings of complexity one},
author = {Juergen Hausen and Elaine Herppich},
journal= {arXiv preprint arXiv:1005.4194},
year = {2013}
}
Comments
minor revision, 10 pages