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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Langlois, K., Terpereau, R. The Cox ring of a complexity-one horospherical variety. Arch. Math. 108, 17–27 (2017). https://doi.org/10.1007/s00013-016-0979-y
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DOI: https://doi.org/10.1007/s00013-016-0979-y