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2019 On the K-theory coniveau epimorphism for products of Severi–Brauer varieties
Nikita Karpenko, Eoin Mackall
Ann. K-Theory 4(2): 317-344 (2019). DOI: 10.2140/akt.2019.4.317

Abstract

For X a product of Severi–Brauer varieties, we conjecture that if the Chow ring of X is generated by Chern classes, then the canonical epimorphism from the Chow ring of X to the graded ring associated to the coniveau filtration of the Grothendieck ring of X is an isomorphism. We show this conjecture is equivalent to the condition that if G is a split semisimple algebraic group of type AC, B is a Borel subgroup of G and E is a standard generic G-torsor, then the canonical epimorphism from the Chow ring of EB to the graded ring associated with the coniveau filtration of the Grothendieck ring of EB is an isomorphism. In certain cases we verify this conjecture.

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Nikita Karpenko. Eoin Mackall. "On the K-theory coniveau epimorphism for products of Severi–Brauer varieties." Ann. K-Theory 4 (2) 317 - 344, 2019. https://doi.org/10.2140/akt.2019.4.317

Information

Received: 28 June 2018; Revised: 19 October 2018; Accepted: 6 November 2018; Published: 2019
First available in Project Euclid: 13 August 2019

zbMATH: 07102035
MathSciNet: MR3990787
Digital Object Identifier: 10.2140/akt.2019.4.317

Subjects:
Primary: 14C25, 20G15

Rights: Copyright © 2019 Mathematical Sciences Publishers

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Vol.4 • No. 2 • 2019
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