Chow ring of generically twisted varieties of complete flags

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• 作者：Nikita A. Karpenko ^{karpenko@ualberta.ca}
• 关键词：20G15 ; 14C25
• 刊名：Advances in Mathematics
• 出版年：2017
• 出版时间：14 January 2017
• 年：2017
• 卷：306
• 期：Complete
• 页码：789-806
• 全文大小：406 K
• 卷排序：306

文摘

Let G be a split simple affine algebraic group of type A or C over a field k, and let E be a standard generic G-torsor over a field extension of k. We compute the Chow ring of the variety of Borel subgroups of G (also called the variety of complete flags of G), twisted by E. In most cases, the answer contains a large finite torsion subgroup. The torsion-free cases have been treated in the predecessor Chow ring of some generically twisted flag varieties by the author.