Foliated neighborhoods of exceptional manifolds Cesar Camachohossein movasati 32S65holomorphic foliations The present article deals with the classification of neighborhoods of negatively embedded submanifolds $A$ of a complex manifold $X$. The main tools we use are one-dimensional foliations whose set of singularities is $A$ and which are normally attracting at $A$. The linearization of these foliations is provided under general cohomological conditions. As a consequence, an extension of the classical embedding theorem of Grauert is obtained. Indiana University Mathematics Journal 2014 text pdf 10.1512/iumj.2014.63.5370 10.1512/iumj.2014.63.5370 en Indiana Univ. Math. J. 63 (2014) 1235 - 1247 state-of-the-art mathematics http://iumj.org/access/