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