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Ratios of periods for tensor product motives

Number Theory 2013-08-09 v3 Algebraic Geometry Representation Theory

Abstract

In this article we prove some period relations for the ratio of Deligne's periods for certain tensor product motives. These period relations give a motivic interpretation for certain algebraicity results for ratios of successive critical values for Rankin-Selberg L-functions for GLn×GLn{\rm GL}_n \times {\rm GL}_{n'} proved by G\"unter Harder and the second author.

Keywords

Cite

@article{arxiv.1209.6483,
  title  = {Ratios of periods for tensor product motives},
  author = {Chandrasheel Bhagwat and A. Raghuram},
  journal= {arXiv preprint arXiv:1209.6483},
  year   = {2013}
}

Comments

In this revised version, we have made some minor modifications according to the comments by the referee