Duality for the de Rham cohomology of an abelian scheme (Q1272259)
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scientific article; zbMATH DE number 1227215
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Duality for the de Rham cohomology of an abelian scheme |
scientific article; zbMATH DE number 1227215 |
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Duality for the de Rham cohomology of an abelian scheme (English)
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29 November 1998
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The author proves the equality of three different pairings between the first de Rham cohomology group of an abelian scheme over a base flat over \(\mathbb{Z}\) and that of its dual. Then he deduces a generalization to arbitrary characteristic of Serre's formula for the pairing on the first de Rham cohomology group of a curve over a field of characteristic zero.
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abelian scheme
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Poincaré pairing
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first de Rham cohomology group
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Serre's formula
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