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

Abstract

We show how to extend some holomorphic bundles with fifer C2 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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