On p-adic periods for mixed Tate motives over a number field
Algebraic Geometry
2011-10-06 v1
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.
Keywords
Cite
@article{arxiv.1110.0923,
title = {On p-adic periods for mixed Tate motives over a number field},
author = {Andre Chatzistamatiou and Sinan Ünver},
journal= {arXiv preprint arXiv:1110.0923},
year = {2011}
}
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24 pages