Algebraic Morava K-theories
成果类型：
Article
署名作者：
Borghesi, S
署名单位：
Universite Paris Saclay
刊物名称：
INVENTIONES MATHEMATICAE
ISSN/ISSBN：
0020-9910
DOI：
10.1007/s00222-002-0257-4
发表日期：
2003
页码：
381-413
关键词：
摘要：
For any prime q and positive integer t, we construct a spectrum k(t) in the stable homotopy category of schemes over a field k equipped with an embedding k --> C. In classical homotopy theory, the C realization of k(t) is known as Morava K-theory. The algebraic content lies in the fact that these spectra are defined as the homotopy limit of a tower whose cofibers are appropriate suspensions of the motivic Eilenberg-MacLane spectra, which are known to represent motivic cohomology in the stable homotopy category of schemes.
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