The Cox ring of a complexity-one horospherical variety
arXiv:1603.06919 · doi:10.1007/s00013-016-0979-y
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.
9 pages, to appear in Arch. Math