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arxiv: 0709.4255 · v4 · submitted 2007-09-26 · 🧮 math.NT · math.AG

Arithmetic duality theorems for 1-motives over function fields

classification 🧮 math.NT math.AG
keywords functiondualityfieldfieldsmotivestheoremsarithmeticcase
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In this paper we obtain a Poitou-Tate exact sequence for finite and flat group schemes over a global function field. We also extend the duality theorems for 1-motives over number fields obtained by D.Harari and T.Szamuely to the function field case.

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