English

On the relation between Nori Motives and Kontsevich Periods

Algebraic Geometry 2014-05-22 v5 K-Theory and Homology Number Theory

Abstract

We show that the spectrum of Kontsevich's algebra of formal periods is a torsor under the motivic Galois group for mixed motives over the rational numbers. This assertion is stated without proof by Kontsevich and originally due to Nori. In a series of appendices, we also provide the necessary details on Nori's category of motives.

Keywords

Cite

@article{arxiv.1105.0865,
  title  = {On the relation between Nori Motives and Kontsevich Periods},
  author = {Annette Huber and Stefan Müller-Stach},
  journal= {arXiv preprint arXiv:1105.0865},
  year   = {2014}
}