On Deligne's periods for tensor product motives

preprint2015arXivOpen access

Abstract

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

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