%0 Journal Article %T On Deligne's periods for tensor product motives %A Chandrasheel Bhagwat %J Mathematics %D 2015 %I arXiv %R 10.1016/j.crma.2014.11.016 %X 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. %U http://arxiv.org/abs/1503.01576v1