Notes on equivariant higher Chow groups

2017/03/09 by Toan, Nguyen Manh
#Algebraic Geometry (math.AG) #FOS: Mathematics #K-Theory and Homology (math.KT)

paper · doi:10.48550/arxiv.1703.03356

Abstract

In this short note, we prove a comparision theorem between Levine-Serpé'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 K-theory.

Related

• Completions of Higher Equivariant K-theory
• Equivariant K-theory and Higher Chow Groups of Schemes
• Riemann-Roch For Equivariant K-Theory
• Riemann-Roch for equivariant Chow groups
• Equivariant Algebraic K-Theory and Derived completions III: Applications