Deformations of coherent foliations on a compact normal space (Q1072687)

An universal analytic structure is obtained on the set S of holomorphic foliations (non necessarly smooth) on a compact reduced analytic space X. Such a foliation is by definition a coherent subsheaf of the holomorphic tangent sheaf \(\Theta_ X\) of X which is stable by the bracket of derivations. S is an analytic subspace of the Douady space of all the coherent quotients of \(\Theta_ X\) and carries an universal flat-family of foliations.