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Le theoreme de Borel-Weil-Bott decrit la cohomologie des fibres en droites sur les varietes de drapeaux. On generalise ici ce theoreme a une plus grande classe de varietes projectives : les varietes magnifiques de rang minimal. ABSTRACT : The Borel-Weil-Bott theorem describes the cohomology of line bundles over flag varieties. Here, one generalizes this theorem to a wider class of projective varieties : the wonderful varieties of minimal rank.

Cohomologie des fibrés en droites sur les variétés magnifiques de rang minimal