Holomorphic hulls in terms of curves of nonnegative divisors and generalized polynomial hulls

Abstract:

This paper is devoted to the study of the Basner hulls of compact subsets of ℂ^N. The principal result is a characterization of these hulls in terms of continuous families of varieties analogous to a well known characterization of polynomially convex hulls. This result is based on recent work of the authors concerning continuous families of divisors.