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arXiv · 1603.06919

The Cox ring of a complexity-one horospherical variety

Kevin Langlois·Ronan Terpereau
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Abstract

Cox rings are intrinsic objects naturally generalizing homogeneous coordinate rings of projective spaces. A complexity-one horospherical variety is a normal variety equipped with a reductive group action whose general orbit is horospherical and of codimension one. In this note, we provide a presentation by generators and relations for the Cox rings of complete rational complexity-one horospherical varieties.

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Kevin Langlois, Ronan Terpereau. 2016-03-22. The Cox ring of a complexity-one horospherical variety. https://doi.org/10.1007/s00013-016-0979-y

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