Algebra & Number Theory
- Algebra Number Theory
- Volume 14, Number 4 (2020), 855-866.
On the motivic class of an algebraic group
Let be a field of characteristic zero admitting a biquadratic field extension. We give an example of a torus over whose classifying stack is stably rational and such that in the Grothendieck ring of algebraic stacks over . We also give an example of a finite étale group scheme over such that is stably rational and .
Algebra Number Theory, Volume 14, Number 4 (2020), 855-866.
Received: 7 August 2018
Revised: 16 July 2019
Accepted: 19 December 2019
First available in Project Euclid: 30 June 2020
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Mathematical Reviews number (MathSciNet)
Scavia, Federico. On the motivic class of an algebraic group. Algebra Number Theory 14 (2020), no. 4, 855--866. doi:10.2140/ant.2020.14.855. https://projecteuclid.org/euclid.ant/1593482420