Grothendieck's period conjecture for Kummer surfaces of self-product CM type

Abstract: We show that Grothendieck's period conjecture holds for the Kummer surface associated with the self-product of a CM elliptic curve. This means that the image of its period isomorphism is dense in its period torsor. The point is that its motive has a non-trivial transcendental part, but belongs to the Tannakian category generated by the motive of a CM elliptic curve.

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