Displaying similar documents to “Local factorization of determinants of twisted DR cohomology groups”

Duality for the de Rham cohomology of an abelian scheme

Robert F. Coleman (1998)

Annales de l'institut Fourier

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In this paper the equality is established of three different pairings between the first de Rham cohomology group of an abelian scheme over a base flat over and that of its dual. These pairings have appeared and been used either explicitly or implicitly in the literature. In the last section we deduce a generalization to arbitrary characteristic of Serre’s formula for the Poincaré pairing on the first de Rham cohomology group of a curve over a field of characteristic zero. ...

Vectorial extensions of Jacobians

Robert F. Coleman (1990)

Annales de l'institut Fourier

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The universal vectorial extension of a curve is described in terms of the geometry of the curve.