The Geometry of T-Varieties
Algebraic Geometry
2012-11-20 v2
Abstract
This is a survey of the language of polyhedral divisors describing T-varieties. This language is explained in parallel to the well established theory of toric varieties. In addition to basic constructions, subjects touched on include singularities, separatedness and properness, divisors and intersection theory, cohomology, Cox rings, polarizations, and equivariant deformations, among others.
Keywords
Cite
@article{arxiv.1102.5760,
title = {The Geometry of T-Varieties},
author = {Klaus Altmann and Nathan Owen Ilten and Lars Petersen and Hendrik Süß and Robert Vollmert},
journal= {arXiv preprint arXiv:1102.5760},
year = {2012}
}
Comments
42 pages, 17 figures. v2: minor changes following the referee's suggestions