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Le principe d’Oka équivariant. (The equivariant Oka principle). (French) Zbl 0782.32021

The authors prove the following equivariant Oka principle: for \(K\) a compact group of holomorphic transformations of a Stein manifold \(X\), holomorphic \(K\)-vector bundles over \(X\) which are topologically \(K\)- isomorphic are holomorphically \(K\)-isomorphic.

MSC:

32L05 Holomorphic bundles and generalizations
32E10 Stein spaces
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