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— Let Sn,k denote the family of Steiner’s bundle S on Pn defined by the exact sequence (k > 0) 0 ! kOPn( 1) !,(n + k)OPn !,S ! 0 We show the following result : Let S 2 Sn,k and H1,··· ,Hn+k+2 distincts hyperplanes such that h, n It implies that a Steiner’s bundle S 2 Sn,k, if it isn’t a Schwarzenberger’s bundle, possesses no more than (n + k + 1) unstable hyperplanes; this proves in any case a result of Dolgachev and Kapranov ([DK], thm 7.2) about logarithmic bundles.

Nombre maximal d'hyperplans instables pour un fibré de Steiner