Bott-Chern cohomology and the Hartogs extension theorem for pluriharmonic functions

Abstract

. Let X be a cohomologically ( n − 1)-complete complex manifold of dimension n ≥ 2. We prove a vanishing result for the Bott-Chern cohomology group of type (1 , 1) with compact support in X , which combined with the well-known technique of Ehrenpreis implies a Hartogs type extension theorem for pluriharmonic functions on X .