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).

引用

页码：7845 / 7884

页数：40

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