# Torus invariant divisors

@article{Petersen2011TorusID, title={Torus invariant divisors}, author={Lars Petersen and Hendrik S{\"u}{\ss}}, journal={Israel Journal of Mathematics}, year={2011}, volume={182}, pages={481-504} }

Using the language of Altmann, Hausen and Süß, we describe invariant divisors on normal varieties X which admit an effective codimension one torus action. In this picture, X is given by a divisorial fan on a smooth projective curve Y. Cartier divisors on X can be described by piecewise affine functions h on the divisorial fan S whereas Weil divisors correspond to certain zero and one-dimensional faces of it. Furthermore, we provide descriptions of the divisor class group and the canonical…

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