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

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

2011-10-05

arxiv.org/abs/1110.0923v1

Mathematics

Algebraic Geometry

24 pages

Scientific paper

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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