Boundary continuity of complete proper holomorphic maps

2014/11/05 by Josip Globevnik, Globevnik, Josip
Mathematics · #Complex Variables (math.CV) #FOS: Mathematics #math.CV

paper · pdf · doi:10.48550/arxiv.1411.1676

2 pages, to appear in J.Math.Anal.Appl

arxiv created 2014/11/05 · arxiv updated 2014/11/07

Abstract

We show that there is no complete proper holomorphic map from the open disc U in C to the bidisc UxU which extends continuously to the closed disc.

Related

• On discs in bidiscs
• Proper holomorphic discs in C²
• The range of holomorphic maps at boundary points
• Holomorphic Extendibility and Mapping Degree
• Critical sets of proper holomorphic mappings