Proper holomorphic mappings into $\ell$-concave quadric domains in projective space

Peter Ebenfelt

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arXiv · 1311.1833

Proper holomorphic mappings into $\ell$-concave quadric domains in projective space

Peter Ebenfelt

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Abstract

In this paper, we prove a type of partial rigidity result for proper holomorphic mappings of certain $\ell$-concave domains in projective space into model quadratic $\ell$-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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BibTeX RIS

Peter Ebenfelt. 2013-11-07. Proper holomorphic mappings into $\ell$-concave quadric domains in projective space. https://arxiv.org/abs/1311.1833

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