The Cox ring of a complexity-one horospherical variety

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• 作者：Kevin Langlois ; Ronan Terpereau
• 关键词：Action of algebraic groups ; Luna–Vust theory
• 刊名：Archiv der Mathematik
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：108
• 期：1
• 页码：17-27
• 全文大小：535KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics, general;
• 出版者：Springer International Publishing
• ISSN：1420-8938
• 卷排序：108

文摘

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.