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arXiv · 1110.0923

On p-adic periods for mixed Tate motives over a number field

Andre Chatzistamatiou·Sinan Ünver
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Abstract

For a number field, we have a Tannaka category of mixed Tate motives at our disposal. We construct p-adic points of the associated Tannaka group by using p-adic Hodge theory. Extensions of two Tate objects yield functions on the Tannaka group, and we show that evaluation at our p-adic points is essentially given by the inverse of the Bloch-Kato exponential map.

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Andre Chatzistamatiou, Sinan Ünver. 2011-10-05. On p-adic periods for mixed Tate motives over a number field. https://arxiv.org/abs/1110.0923

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