Duality for the de Rham cohomology of an abelian scheme
type: Item
instance of: scholarly article
title: Duality for the de Rham cohomology of an abelian scheme
zbMATH Open document ID: 0926.14008
author: Robert F. Coleman
publication date: 1998-11-29T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/75323
review text: 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.
reviewed by: Viorel Vâjâitu
Mathematics Subject Classification ID: 14F40
Mathematics Subject Classification ID: 14K05
zbMATH DE Number: 1227215
zbMATH Keywords: abelian scheme
zbMATH Keywords: Poincaré pairing
zbMATH Keywords: first de Rham cohomology group
zbMATH Keywords: Serre's formula
MaRDI profile type: Publication
OpenAlex ID: W2323705861
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cites work: Q2551490
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DOI: 10.5802/AIF.1659
published in: Annales de l’institut Fourier
description: scientific article; zbMATH DE number 1227215