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arXiv · 1409.5410

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

Daniel Bergh
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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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Daniel Bergh. 2014-09-18. The Binomial Theorem and motivic classes of universal quasi-split tori. https://doi.org/10.1007/s00229-018-1074-4

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