Higher Chow groups of varieties with group action

Krishna, Amalendu (2013) Higher Chow groups of varieties with group action Algebra and Number Theory, 7 (2). pp. 449-506. ISSN 1937-0652

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Official URL: http://msp.org/ant/2013/7-2/p08.xhtml

Related URL: http://dx.doi.org/10.2140/ant.2013.7.449

Abstract

We give explicit descriptions of the higher Chow groups of toric bundles and flag bundles over schemes. We derive several consequences of these descriptions for the equivariant and ordinary higher Chow groups of schemes with group action. We prove a decomposition theorem for the equivariant higher Chow groups of a smooth scheme with action of a diagonalizable group. This theorem is applied to compute the equivariant and ordinary higher Chow groups of smooth toric varieties. The results of this paper play fundamental roles in the proof of the Riemann–Roch theorems for equivariant higher K-theory.

Item Type:Article
Source:Copyright of this article belongs to Mathematical Sciences Publishers.
Keywords:Algebraic Cycles; Group Action
ID Code:102550
Deposited On:09 Mar 2018 10:47
Last Modified:09 Mar 2018 10:47

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