Standard Monomial Theory for Wonderful Varieties

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• 作者：P. Bravi ; R. Chirivì ; J. Gandini ; A. Maffei
• 刊名：Algebras and Representation Theory
• 出版年：2016
• 出版时间：April 2016
• 年：2016
• 卷：19
• 期：2
• 页码：489-509
• 全文大小：1,164 KB
• 刊物主题：Commutative Rings and Algebras; Associative Rings and Algebras; Non-associative Rings and Algebras;
• 出版者：Springer Netherlands
• ISSN：1572-9079
• 卷排序：19

文摘

A general setting for a standard monomial theory on a multiset is introduced and applied to the Cox ring of a wonderful variety. This gives a degeneration result of the Cox ring to a multicone over a partial flag variety. Further, we deduce that the Cox ring has rational singularities.KeywordsStandard monomial theoryWonderful varietyDegenerationRational singularity