Algebraic K-theory, A^1-homotopy and Riemann-Roch theorems
K-Theory and Homology
2014-02-26 v2 Algebraic Geometry
Abstract
In this article, we show that the combination of the constructions done in SGA 6 and the A^1-homotopy theory naturally leads to results on higher algebraic K-theory. This applies to the operations on algebraic K-theory, Chern characters and Riemann-Roch theorems.
Keywords
Cite
@article{arxiv.0907.2710,
title = {Algebraic K-theory, A^1-homotopy and Riemann-Roch theorems},
author = {Joël Riou},
journal= {arXiv preprint arXiv:0907.2710},
year = {2014}
}
Comments
39 pages; minor changes (typos, references)