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arXiv · 1703.03356

Notes on equivariant higher Chow groups

Nguyen Manh Toan
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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 $K$-theory.

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Nguyen Manh Toan. 2017-03-09. Notes on equivariant higher Chow groups. https://arxiv.org/abs/1703.03356

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