Weight Homology of Motives

作者:Kelly Shane*; Saito Shuji
来源:International Mathematics Research Notices, 2017, (13): 3938-3984.
DOI:10.1093/imrn/rnw111

摘要

In the first half of this article, we define a new weight homology functor on Voevodsky's category of effective motives and investigate some of its properties. In special cases, we recover Gillet-Soule's weight homology and Geisser's Kato-Suslin homology. In the second half, we consider the notions of "co-tale" and "reduced" motives, and use the notions to a prove a theorem comparing motivic homology to etale motivic homology. Due to [19] we do not have to restrict to smooth schemes.

  • 出版日期2017-7

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