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The Binomial Theorem and motivic classes of universal quasi-split tori

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Abstract

Taking symmetric powers of varieties can be seen as a functor from the category of varieties to the category of varieties with an action by the symmetric group. We study a corresponding map between the Grothendieck groups of these categories. In particular, we derive a binomial formula and use it to give explicit expressions for the classes of universal quasi-split tori in the equivariant Grothendieck group of varieties.

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Acknowledgements

I would like to thank my advisor, David Rydh, for suggesting several improvements of this text.

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  1. Department of Mathematical Sciences, Copenhagen University, Universitetspark 5, 2100, Copenhagen Ø, Denmark

    Daniel Bergh

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  1. Daniel Bergh
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Correspondence to Daniel Bergh.

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Bergh, D. The Binomial Theorem and motivic classes of universal quasi-split tori. manuscripta math. 159, 347–361 (2019). https://doi.org/10.1007/s00229-018-1074-4

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  • DOI: https://doi.org/10.1007/s00229-018-1074-4

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