Cohomologie de de Rham entiere (Integral de Rham cohomology)

Details Cohomologie de de Rham entiere (Integral de Rham cohomology) Cohomologie de de Rham entiere (Integral de Rham cohomology)

2004-04-06

arxiv.org/abs/math/0404123v2

Mathematics

K-Theory and Homology

French (4 pages) with English one-page version

Scientific paper

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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