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The Cox ring of a complexity-one horospherical variety (1603.06919v3)
Published 22 Mar 2016 in math.AG and math.RT
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.