Non-complete rational T-varieties of complexity one
Algebraic Geometry
2025-07-08 v1
Abstract
We consider rational varieties with a torus action of complexity one and extend the combinatorial approach via the Cox ring developed for the complete case in earlier work to the non-complete, e.g. affine, case. This includes in particular a description of all factorially graded affine algebras of complexity one with only constant homogeneous invertible elements in terms of canonical generators and relations.
Cite
@article{arxiv.1512.08930,
title = {Non-complete rational T-varieties of complexity one},
author = {Juergen Hausen and Milena Wrobel},
journal= {arXiv preprint arXiv:1512.08930},
year = {2025}
}
Comments
13 pages