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arXiv · 1209.6483

Ratios of periods for tensor product motives

Chandrasheel Bhagwat·A. Raghuram
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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 ${\rm GL}_n \times {\rm GL}_{n'}$ proved by Günter Harder and the second author.

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Chandrasheel Bhagwat, A. Raghuram. 2013-08-08. Ratios of periods for tensor product motives. https://arxiv.org/abs/1209.6483

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