Weight homology of motives
Algebraic Geometry
2014-11-24 v1
Abstract
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-Soul\'e's weight homology, and Geisser's Kato-Suslin homology. In the second half, we consider the notions of "co-\'etale" and "reduced" motives, and use the notions to a prove a theorem comparing motivic homology to \'etale motivic homology. Due to the first author's Ph.D. thesis arXiv:1305.5349 we do not have to restrict to smooth schemes.
Keywords
Cite
@article{arxiv.1411.5831,
title = {Weight homology of motives},
author = {Shane Kelly and Shuji Saito},
journal= {arXiv preprint arXiv:1411.5831},
year = {2014}
}
Comments
39 pages