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Orbital Integrals are Motivic

表示论 2007-05-23 v1

摘要

This article shows that under general conditions, p-adic orbital integrals of definable functions are represented by virtual Chow motives. This gives an explicit example of the philosophy of Denef and Loeser, which predicts that all naturally occurring p-adic integrals are motivic.

关键词

引用

@article{arxiv.math/0212236,
  title  = {Orbital Integrals are Motivic},
  author = {Thomas C. Hales},
  journal= {arXiv preprint arXiv:math/0212236},
  year   = {2007}
}

备注

10 pages, no figures. This paper is granted to the public domain