Abstract
The present article deals with the classification of neighborhoods of negatively embedded submanifoldsA of a com- plex 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 ex- tension of the classical embedding theorem of Grauert is obtained.
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