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arXiv · 1512.08930

Non-complete rational T-varieties of complexity one

Juergen Hausen·Milena Wrobel
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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.

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Juergen Hausen, Milena Wrobel. 2015-12-30. Non-complete rational T-varieties of complexity one. https://doi.org/10.1002/mana.201600009

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