Simplicial schemes and Adams operations (Q2708730)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Simplicial schemes and Adams operations |
scientific article |
Statements
17 April 2001
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simplicial scheme
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\(K\)-theory
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Adams operation
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Simplicial schemes and Adams operations (English)
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Working in the homotopy category of schemes over a scheme \(S=\text{Spec }A\) due to \textit{J. F. Jardine} [Can. J. Math. 39, 733-747 (1987; Zbl 0645.18006)] an algebraic \(K\)-theory spectrum is constructed by a method parallel to that of Segal for topological \(K\)-theory. Adams operations are constructed in the associated \(K\)-theory of schemes and extended to simplicial schemes; a \(\lambda\)-ring structure is also defined on the rational version of the latter.NEWLINENEWLINEFor the entire collection see [Zbl 0949.00018].
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