Published January 1, 2013
| Version v1
Journal article
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ON p-ADIC PERIODS FOR MIXED TATE MOTIVES OVER A NUMBER FIELD
Creators
- 1. Univ Duisburg Essen, Fachbereich Math, D-45117 Essen, Germany
- 2. Koc Univ, Dept Math, TR-34450 Istanbul, Turkey
Description
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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