Let X be a compact Kähler manifold, $M\subseteq X$ be a complex submanifold, is there a biholomorphism between a neighborhood of the zero section of the normal bundle $NM$ of $M$ and a neighborhood $U(M)\subseteq X$?
Biholomorphism between neighborhood of a complex submanifold and a neighborhood of zero section of its normal bundle
Italo
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