  In this article, we study the cohomology of some analytic sheaves on the
complementary in the projective space of a suitable infinite collection of
hyperplane like the Drinfel'd symetric space. In particular, the sheaf of
invertible functions on these rigid spaces has no cohomology in degree greater
or equal to $1$. This proves the vanishing of the Picard goup and the methods
used give a convenient description of the global invertible functions.
