 Sheaf of holomorphic sections of a vector bundle (source code)

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= Sheaf of holomorphic sections of a vector bundle
{title2=$\mathcal O(E)$}

For a <holomorphic vector bundle> $E$, $\mathcal O(E)(U)$ is its space of <holomorphic sections> on $U$, with their restrictions. It is the kernel of the bundle <Dolbeault operator> on smooth sections.

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