Cohomologie de de Rham entiere (Integral de Rham cohomology)
K-Theory and Homology
2007-05-23 v2 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.math/0404123,
title = {Cohomologie de de Rham entiere (Integral de Rham cohomology)},
author = {Vincent Franjou},
journal= {arXiv preprint arXiv:math/0404123},
year = {2007}
}
Comments
French (4 pages) with English one-page version