Arkiv för Matematik
- Ark. Mat.
- Volume 54, Number 2 (2016), 299-319.
The Hartogs extension theorem for holomorphic vector bundles and sprays
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 , is not subelliptic.
E. F. Wold is supported by grant NFR-209751/F20 from the Norwegian Research Council.
Ark. Mat., Volume 54, Number 2 (2016), 299-319.
Received: 4 December 2014
Revised: 1 July 2015
First available in Project Euclid: 30 January 2017
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2015 © Institut Mittag-Leffler
Andrist, Rafael B.; Shcherbina, Nikolay; Wold, Erlend F. The Hartogs extension theorem for holomorphic vector bundles and sprays. Ark. Mat. 54 (2016), no. 2, 299--319. doi:10.1007/s11512-015-0226-y. https://projecteuclid.org/euclid.afm/1485802742