On Deligne's periods for tensor product motives

Chandrasheel Bhagwat

doi:10.1016/j.crma.2014.11.016

On Deligne's periods for tensor product motives

Representation Theory 2015-03-06 v1 Algebraic Geometry Number Theory

Authors: Chandrasheel Bhagwat

View on arXiv ↗ PDF ↗ DOI ↗

Abstract

In this paper, we give a description of Deligne's periods $c^\pm$ for tensor product of pure motives $M \otimes M'$ over $\mathbb{Q}$ in terms of the period invariants attached to $M$ and $M'$ by Yoshida. The period relations proved by the author and Raghuram in an earlier paper follow from the results of this paper.

Keywords

Deligne's periods tensor product motives period invariants pure motives Yoshida period relations

Cite

@article{arxiv.1503.01576,
  title  = {On Deligne's periods for tensor product motives},
  author = {Chandrasheel Bhagwat},
  journal= {arXiv preprint arXiv:1503.01576},
  year   = {2015}
}

Comments

6 pages, published in Comptes rendus - Math\'ematique in January 2015. Formerly appendix to arXiv1312.5955

On Deligne's periods for tensor product motives

Abstract

Keywords

Cite

Comments

Related papers