Annals of K-Theory

Chow groups of some generically twisted flag varieties

Nikita Karpenko

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We classify the split simple affine algebraic groups G of types A and C over a field with the property that the Chow group of the quotient variety EP is torsion-free, where P G is a special parabolic subgroup (e.g., a Borel subgroup) and E is a generic G-torsor (over a field extension of the base field). Examples of G include the adjoint groups of type A. Examples of EP include the Severi–Brauer varieties of generic central simple algebras.

Article information

Ann. K-Theory, Volume 2, Number 2 (2017), 341-356.

Received: 15 February 2016
Revised: 26 April 2016
Accepted: 11 May 2016
First available in Project Euclid: 16 November 2017

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 14C25: Algebraic cycles 20G15: Linear algebraic groups over arbitrary fields

central simple algebras algebraic groups projective homogeneous varieties Chow groups


Karpenko, Nikita. Chow groups of some generically twisted flag varieties. Ann. K-Theory 2 (2017), no. 2, 341--356. doi:10.2140/akt.2017.2.341.

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