切片和转移
Slices and Transfers
摘要:
本文研究了域k上S^1-谱的切片滤子,并提出了一些关于切片滤子性质的问题.我们表明,切片,除了第0切片,承认进一步的过滤,其层是在一个自然的方式Eilenberg-Maclane频谱与一个同伦不变量复杂的Nisnevic层转移,即,有效的动机。我们给出一个例子来说明,一般情况下,第0个切片不允许传输。
英文摘要:
We study the slice filtration for S^1-spectra over a field k, and raise a number of questions regardings its properties. We show that the slices, except for the 0th slice, admit a further filtration whose layers are in a natural way the Eilenberg-Maclane spectra associated to a homotopy invariant complex of Nisnevic sheaves with transfer, i.e., an effective motive. We give an example to show that in general the 0th slice does not admit transfers.
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