1. Introduction. The universal covering of an n-dimensional primary Hopf manifold X, n>2, is biholomorphic to the punctured n-space W:=C~n-{0}. Every holomorphic vector bundle E on X can be lifted by the covering map :W-X to a holomorphic vector bundle of W, the pullback (E) of E. The main purpose of this note is to prove the following theorem about the cohomology of holomorphic vector bundles E on X whose pullback (E) is holomorphically trivial. We denote the sheaf of germs of holomorphic functions with O_X, the sheaf of germs of holomorphic p-forms on X with and the section function with Γ(X,-).
展开▼
