Motivic strict ring models for $K$-theory
Motivic strict ring models for $K$-theory
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$K$ 理论的 Motivic 严格环模型
DOI：
10.1090/s0002-9939-10-10394-3
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发表时间：
2009
影响因子：
4.6
通讯作者：
P. Ostvaer
中科院分区：
文献类型：
--
作者：
O. Rondigs;Markus Spitzweck;P. Ostvaer
结果表明，在动机稳定同伦理论的背景下，每个有限Krull维诺特基格式的-理论都可以用一个可交换的严格环对象来表示。这里使用形容词“严格”是为了区分我们构建的环结构类型和仅在同伦时有效的环结构类型。通过运行与动机设置中相同类型的论证，可以得出类似的拓扑结果。
It is shown that the -theory of every noetherian base scheme of finite Krull dimension is represented by a commutative strict ring object in the setting of motivic stable homotopy theory. The adjective `strict' is used here in order to distinguish between the type of ring structure we construct and one which is valid only up to homotopy. An analogous topological result follows by running the same type of arguments as in the motivic setting.