Stein neighbourhoods of bordered complex curves attached to holomorphically convex sets

Abstract

In this paper, we construct open Stein neighbourhoods of compact sets of the form A ∪ K in a complex space, where K is a compact holomorphically convex set, A is a compact complex curve with boundary bA of class C 2 which may intersect K , and the set A ∩ K is O ( A ) -convex.