Universal extension crystals of 1-motives and applications |
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| Authors: | Fabrizio Andreatta Alessandra Bertapelle |
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| Institution: | a Dipartimento di Matematica “Federigo Enriques”, Via C. Saldini 50, I-20133 Milano, Italyb Dipartimento di Matematica Pura ed Applicata, Via Trieste 63, I-35121 Padova, Italy |
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| Abstract: | We use the crystalline nature of the universal extension of a 1-motive M to define a canonical Gauss-Manin connection on the de Rham realization of M. As an application we provide a construction of the so-called Manin map from a motivic point of view. |
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| Keywords: | 14F40 14F42 14F30 |
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