Proper holomorphic curves attached to domains

Abstract

Let D be a domain in C^n with smooth boundary, of finite 1-type at a point p in the boundary and such that the closure of D has a basis of Stein Runge neighborhoods. Assume that there exists an analytic disc which intersects the closure of D exactly at p. We construct proper holomorphic maps from any open Riemann surface S which are attached to the closure of D exactly at p.

References in corpus (1)

• Proper holomorphic embeddings into Stein manifolds with the density property

Cited by in corpus (1)

• Flexible domains for minimal surfaces in Euclidean spaces