The Cox Ring of an Algebraic Variety with Torus Action

@inproceedings{S2009TheCR,
  title={The Cox Ring of an Algebraic Variety with Torus Action},
  author={Hendrik S{\"u}\ss},
  year={2009}
}
We investigate the Cox ring of a normal complete variety X with algebraic torus action. Our first results relate the Cox ring of X to that of a maximal geometric quotient of X. As a consequence, we obtain a complete description of the Cox ring in terms of generators and relations for varieties with torus action of complexity one. Moreover, we provide a… CONTINUE READING