A soft Oka principle for proper holomorphic embeddings of open Riemann surfaces into (C*)2

被引：4

作者：

Ritter, Tyson ^{[1
]}

机构：

[1] Univ Oslo, Matemat Inst, Postboks 1053 Blindern, N-0316 Oslo, Norway

来源：

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2018年 / 745卷

关键词：

COMPLEX-MANIFOLDS; DENSITY PROPERTY; STEIN STRUCTURES; PLANAR DOMAINS; AUTOMORPHISMS;

D O I：

10.1515/crelle-2015-0116

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let X be an open Riemann surface. We prove an Oka property on the approximation and interpolation of continuous maps X -> (C*)(2) by proper holomorphic embeddings, provided that we permit a smooth deformation of the complex structure on X outside a certain set. This generalises and strengthens a recent result of Alarcon and Lopez. We also give a Forstneric-Wold theorem for proper holomorphic embeddings (with respect to the given complex structure) of certain open Riemann surfaces into (C*)(2) .

引用

页码：59 / 82

页数：24