Analytic sheaf cohomology groups of dimension<i>n</i>of<i>n</i>-dimensional noncompact complex manifolds

Abstract

In this paper the following question is considered: if X is a (/-compact noncompact complex manifold of dimension n and j^~ is a coherent analytic sheaf on X, does H n (X, j^") always vanish? The answer is in the affirmative.