Approximations of Eilenberg-MacLane spaces by smooth projective varieties
Algebraic Topology
2022-04-14 v2
Abstract
In this note we construct approximations by smooth projective varieties of some Eienberg-MacLane spaces in the -homotopy category. Using these, we study the cycle maps from Chow rings to etale cohomology rings.
Keywords
Cite
@article{arxiv.2203.15768,
title = {Approximations of Eilenberg-MacLane spaces by smooth projective varieties},
author = {Nobuaki Yagita},
journal= {arXiv preprint arXiv:2203.15768},
year = {2022}
}
Comments
Lemma 4.1 in the section 4 was error, So we can not show the main lemma Lemma 4.2. Moreover we can not prove main theorems Theorem 1.1-1.4 in the introduction