IUMJ

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

Authors: Peter Ebenfelt

Issue: Volume 64 (2015), Issue 3, 769-785

Abstract:

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.