Voevodsky's Lectures on Motivic Cohomology 2000/2001

Voevodsky's Lectures on Motivic Cohomology 2000/2001
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Voevodsky 的动机上同调讲座 2000/2001

DOI:
10.1007/978-3-642-01200-6_12
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发表时间:
2009
影响因子:
1.4
通讯作者:
P. Deligné
P. Deligné
中科院分区:
数学2区
文献类型:
--
作者:
P. Deligné

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为这些笔记提供来源的讲座涵盖了几个不同的主题,这些主题彼此相关,但在任何合理的意义上都没有形成一个连贯的整体。因此,这篇文章是一个集合的四个部分,相互参考,但在其他方面是独立的。在第一部分中,我们引入了动机同伦范畴,并将它与文[7]中讨论的动机上同调理论联系起来。这个阐述有点不寻常,因为我们想避免任何对模型结构的引用,并且仍然证明主要定理7。我们可以用模12来计算,我们必须参考下一部分。
The lectures which provided the source for these notes covered several different topics which are related to each other but which do not in any reasonable sense form a coherent whole. As a result, this text is a collection of four parts which refer to each other but otherwise are independent. In the first part we introduce the motivic homotopy category and connect it with the motivic cohomology theory discussed in [7]. The exposition is a little unusual because we wanted to avoid any references to model structures and still prove the main theorem 7. We were able to do it modulo 12 where we had to refer to the next part.