English

Extension of holomorphic bundles to the disc (and Serre's Problem on Stein bundles)

Complex Variables 2007-05-23 v1

Abstract

We show how to extend some holomorphic bundles with fifer C^2 and base an open set in C, to bundles on the Riemann Sphere, by an extremely simple technique. In particular, it applies to examples of non-Stein bundles constructed by Skoda and Demailly. It gives an example on C, with polynomial transition automorphisms.

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Cite

@article{arxiv.math/0610688,
  title  = {Extension of holomorphic bundles to the disc (and Serre's Problem on Stein bundles)},
  author = {Jean-Pierre Rosay},
  journal= {arXiv preprint arXiv:math/0610688},
  year   = {2007}
}

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6 pages