2016/03/22 by Kevin Langlois, Ronan Terpereau, Langlois, Kevin +1
#Algebraic Geometry and Number Theory #Advanced Algebra and Geometry #Nonlinear Waves and Solitons
paper · pdf · doi:10.1007/s00013-016-0979-y
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.