Abstract

Let M be a connected holomorphic covering of a holomorphically convex manifold M. If M carries a positive holomorphic line bundle L such that the pullback of L is holomorphically trivial on M, then M is a Stein manifold.

Keywords

holomorphic convexity, coverings, line bundle, Cauchy–Riemann operator

Mathematical Subject Classification

Primary: 32E40, 32E10

Authors