IUMJ

Title: Foliated neighborhoods of exceptional manifolds

Authors: Cesar Camacho and hossein movasati

Issue: Volume 63 (2014), Issue 5, 1235-1247

Abstract:

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.