Nonresonance conditions for arrangements

Nous demontrons un theoreme d'annulation pour la cohomologie du complementaire d'un arrangement d'hyperplans complexes a coefficients dans un systeme local. Ce resultat est compare a d'autres theoremes d'annulation et il est utilise pour etudier les fibres de Milnor associees a des arrangements de droites et d'hypersurfaces.

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