Proper holomorphic mappings into ℓ-concave quadric domains in projective space

2013/11/07 by Peter Ebenfelt, Ebenfelt, Peter
Mathematics · #32H02 #32V30 #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Meromorphic and Entire Functions #math.CV #msc:32H02 #msc:32V30

paper · pdf · doi:10.48550/arxiv.1311.1833

arxiv created 2013/11/07 · openalex publication_date 2013/11/07 · arxiv updated 2013/11/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we prove a type of partial rigidity result for proper holomorphic mappings of certain ℓ-concave domains in projective space into model quadratic ℓ-concave domains. The main technical result is a degree estimate for proper holomorphic mappings into the model domains, provided that the mappings extend to projective space as rational mappings, and the source domain contains algebraic varieties and has a boundary with low CR complexity.

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