Covering of a holomorphically convex manifold carrying a positive line bundle

Saïd Asserda

Vol. 185 (1998), No. 2, 201–208

DOI: 10.2140/pjm.1998.185.201

Abstract

Let M be a holomorphically convex manifold and π : M → M is a holomorphic connected covering. If M carries a positive holomorphic line bundle L such that the cohomology class of π^∗L in H¹(M,𝒪^∗) vanishes, then M is a Stein manifold.

Milestones

Received: 11 June 1996

Published: 1 October 1998