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
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10.1512/iumj.2014.63.5370
10.1512/iumj.2014.63.5370
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Indiana Univ. Math. J. 63 (2014) 1235 - 1247
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