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Cohomologie de de Rham entiere (Integral de Rham cohomology)

Vincent Franjou
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Abstract

The Cartier isomorphism allows a nice description of the Bockstein spectral sequence of the de Rham complex over the integers. It is used to compute the integral de Rham cohomology of affine spaces. ----- On decrit la suite spectrale de Bockstein issue du complexe de de Rham sur les entiers. L'isomorphisme de Cartier intervient comme un endomorphisme du complexe de de Rham modulo p qui identifie les pages successives de la suite spectrale de Bockstein. On en deduit la cohomologie de de Rham entiere des espaces affines.

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Vincent Franjou. 2004-04-06. Cohomologie de de Rham entiere (Integral de Rham cohomology). https://arxiv.org/abs/math/0404123

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