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2020 On the motivic class of an algebraic group
Federico Scavia
Algebra Number Theory 14(4): 855-866 (2020). DOI: 10.2140/ant.2020.14.855

Abstract

Let F be a field of characteristic zero admitting a biquadratic field extension. We give an example of a torus G over F whose classifying stack BG is stably rational and such that {BG}{G}1 in the Grothendieck ring of algebraic stacks over F. We also give an example of a finite étale group scheme A over F such that BA is stably rational and {BA}1.

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Federico Scavia. "On the motivic class of an algebraic group." Algebra Number Theory 14 (4) 855 - 866, 2020. https://doi.org/10.2140/ant.2020.14.855

Information

Received: 7 August 2018; Revised: 16 July 2019; Accepted: 19 December 2019; Published: 2020
First available in Project Euclid: 30 June 2020

zbMATH: 07224492
MathSciNet: MR4114058
Digital Object Identifier: 10.2140/ant.2020.14.855

Subjects:
Primary: 14L15
Secondary: 14D23

Rights: Copyright © 2020 Mathematical Sciences Publishers

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Vol.14 • No. 4 • 2020
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