Non-complete rational T-varieties of complexity one
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- December 2015
- arXiv:
- arXiv:1512.08930
- Bibcode:
- 2015arXiv151208930H
- Keywords:
-
- Mathematics - Algebraic Geometry;
- 14L30;
- 13A05;
- 13F15
- E-Print:
- 13 pages