Proper holomorphic mappings into $\\ell$-concave quadric domains in projective space Peter Ebenfelt 32H0232V30Proper holomorphic mappingsl-concave domains 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. Indiana University Mathematics Journal 2015 text pdf 10.1512/iumj.2015.64.5553 10.1512/iumj.2015.64.5553 en Indiana Univ. Math. J. 64 (2015) 769 - 785 state-of-the-art mathematics http://iumj.org/access/