Factorization of proper holomorphic mappings through Thullen domains

Kang-Tae Kim, Mario Landucci and Andrea F. Spiro

Vol. 189 (1999), No. 2, 293–310

DOI: 10.2140/pjm.1999.189.293

Abstract

Given a bounded domain in ℂ² and a proper holomorphic mapping onto the unit ball in ℂ², we give a criterion for a proper mapping to factor through Thullen domains by its branch locus. As an application, we present a characterization of the Thullen domains among bounded domains admitting a proper holomorphic mapping onto the unit ball.

Milestones

Received: 13 October 1997

Published: 1 June 1999