THE K-THEORY SPECTRUM OF VARIETIES

被引：7
|
作者：
Campbell, Jonathan A. [1 ]
机构：
[1] Vanderbilt Univ, Dept Math, 1326 Stevenson Ctr, Nashville, TN 37240 USA
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2019年 / 371卷 / 11期
关键词：
Grothendick ring of varieties; K-theory; S-center dot-construction; motivic measure; LOOP SPACE; ALGEBRAS; MODULES;
D O I：
10.1090/tran/7648
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We produce an E-infinity-ring spectrum K(Var(/kappa)) whose components model the Grothendieck ring of varieties (over a field kappa) K-0(Var(/kappa)). This is achieved by slightly modifying Waldhausen categories and the Waldhausen S-center dot-construction. As an application, we produce liftings of various motivic measures to spectrum-level maps, including maps into Waldhausen's K-theory of spaces A(*) and to K(Q).
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页码：7845 / 7884
页数：40
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