Ratios of periods for tensor product motives

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 ${\mathrm{GL}}_n\times {\mathrm{GL}}_{n^{\prime }}$ proved by Günter Harder and the second author.

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

References in corpus (1)

• Notes on the arithmetic of Hilbert modular forms