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
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10.1512/iumj.2015.64.5553
10.1512/iumj.2015.64.5553
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Indiana Univ. Math. J. 64 (2015) 769 - 785
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