Abstract
We show that every stable holomorphic bundle on the Hopf manifold with , where is a diagonal linear operator with all eigenvalues satisfying , can be lifted to a -equivariant coherent sheaf on , where is a commutative Lie group acting on and containing . This is used to show that all bundles on are filtrable, that is, admit a filtration by a sequence of coherent sheaves with all subquotients of rank 1.
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