Duality for the de Rham cohomology of an abelian scheme
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.
scientific article; zbMATH DE number 1227215