Cohomological descent of rigid cohomology for étale coverings
Bruno Chiarellotto, Nobuo Tsuzuki (2003)
Rendiconti del Seminario Matematico della Università di Padova
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Cohomological descent of rigid cohomology for étale coverings
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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. ...
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