On the singular loci and the images of proper holomorphic maps from pseudoellipsoids

2014/03/02 by Cristina Giannotti, Giannotti, Cristina, Andrea Spiro +1
Mathematics · #32A07 #32H35 #Advanced Algebra and Geometry #Complex Variables (math.CV) #FOS: Mathematics #Geometry and complex manifolds #Holomorphic and Operator Theory #math.CV #msc:32A07 #msc:32H35

paper · pdf · doi:10.48550/arxiv.1403.0266

15 pages; to appear on Mathematica Scandinavica

arxiv created 2014/03/02 · openalex publication_date 2014/03/02 · arxiv updated 2014/03/04 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28

Abstract

We prove a generalisation of Rudin's theorem on proper holomorphic maps from the unit ball to the case of proper holomorphic maps from pseudoellipsoids.

Related

• A classification of proper holomorphic mappings between generalized pseudoellipsoids of different dimensions
• Proper holomorphic maps from the unit disk to some unit ball
• Images and singularity subsets of pseudoholomorphic maps
• Proper holomorphic mappings of the spectral unit ball
• Carath 'eodory balls and proper holomorphic maps on multiply-connected\n planar domains