English

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

Algebraic Geometry 2019-04-16 v1

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.

Keywords

Cite

@article{arxiv.1409.5410,
  title  = {The Binomial Theorem and motivic classes of universal quasi-split tori},
  author = {Daniel Bergh},
  journal= {arXiv preprint arXiv:1409.5410},
  year   = {2019}
}