Notes on equivariant higher Chow groups
K-Theory and Homology
2017-07-19 v2 Algebraic Geometry
Abstract
In this short note, we prove a comparision theorem between Levine-Serp\'e's equivariant higher Chow groups of an algebraic variety equipped with an action of a finite group and ordinary higher Chow groups of its fixed points. As a consequence, we show that the equivariant motivic spectral sequence degenerates rationally. This yields a Riemann-Roch Theorem for equivariant algebraic -theory.
Cite
@article{arxiv.1703.03356,
title = {Notes on equivariant higher Chow groups},
author = {Nguyen Manh Toan},
journal= {arXiv preprint arXiv:1703.03356},
year = {2017}
}
Comments
13 pages. References added. Some typos are fixed. Comment welcome!