an:01588583
Zbl 0969.55008
Lecomte, Florence
Simplicial schemes and Adams operations
EN
Bass, H. (ed.) et al., Algebraic \(K\)-theory and its applications. Proceedings of the workshop and symposium, ICTP, Trieste, Italy, September 1-19, 1997. Singapore: World Scientific. 437-449 (1999).
1999
a
55S25 19E08
simplicial scheme; \(K\)-theory; Adams operation
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.
For the entire collection see [Zbl 0949.00018].
A.J.Baker (Glasgow)
Zbl 0645.18006