The Hartogs extension theorem for holomorphic vector bundles and sprays
Andrist, Rafael Benedikt, 1983- ; Shcherbina, Nikolay ; Wold, Erlend Fornæss
We give a detailed proof of Siu's theorem on extendibility of holomorphic vector bundles of rank larger than one, and prove a corresponding extension theorem for holomorphic sprays. We apply this ...result to study ellipticity properties of complements of compact subsets in Stein manifolds. In particular we show that the complement of a closed ball in ▫$\mathbb{C}^{n},\; n \geq3$▫, is not subelliptic.
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