Borel isomorphism and absolute purity
Algebraic Geometry
2019-02-07 v1
Abstract
We prove absolute purity for the rational motivic sphere spectrum. The main ingredient is the construction of an analogue of the Chern character, where algebraic K-theory is replaced by hermitian K-theory, and motivic cohomology by the plus and minus parts of the rational sphere spectrum. Another ingredient is absolute purity for hermitian K-theory.
Keywords
Cite
@article{arxiv.1902.02055,
title = {Borel isomorphism and absolute purity},
author = {Frédéric Déglise and Jean Fasel and Fangzhou Jin and Adeel Khan},
journal= {arXiv preprint arXiv:1902.02055},
year = {2019}
}