Proper holomorphic curves attached to domains
Complex Variables
2020-01-24 v1
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.
Cite
@article{arxiv.1811.03363,
title = {Proper holomorphic curves attached to domains},
author = {Barbara Drinovec Drnovsek and Marko Slapar},
journal= {arXiv preprint arXiv:1811.03363},
year = {2020}
}