Triangular Witt groups - Part II: From usual to derived

被引:59
作者
Balmer, P [1 ]
机构
[1] Univ Western Ontario, Middlesex Coll, Dept Math, London, ON N6A 5B7, Canada
关键词
Mathematics Subject Classification (1991): 11E81, 18E30, 19G12;
D O I
10.1007/PL00004834
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We establish that the derived Witt group is isomorphic to the usual Witt group when 2 is invertible. This key result opens the Ali Baba's cave of triangular Witt groups, linking the abstract results of Part I to classical questions for the usual Witt group. For commercial purposes, we survey the future applications of triangular Witt groups in the introduction. We also establish a connection between odd-indexed Witt groups and formulations. Finally, we prove that over a commutative local ring in which 2 is a unit, the shifted derived Witt groups are all zero but the usual one.
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页码:351 / 382
页数:32
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