• Corpus ID: 13911682

Multigraded Factorial Rings and Fano varieties with torus action

@article{Hausen2009MultigradedFR,
  title={Multigraded Factorial Rings and Fano varieties with torus action},
  author={Juergen Hausen and Elaine Herppich and Hendrik Suss},
  journal={arXiv: Algebraic Geometry},
  year={2009}
}
In a first result, we describe all finitely generated factorial algebras over an algebraically closed field of characteristic zero that come with an effective multigrading of complexity one by means of generators and relations. This enables us to construct systematically varieties with free divisor class group and a complexity one torus action via their Cox rings. For the Fano varieties of this type that have a free divisor class group of rank one, we provide explicit bounds for the number of… 

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  • E. Herppich
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    Proceedings of the Edinburgh Mathematical Society
  • 2014
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