On the complexity of proper holomorphic mappings between balls

Details On the complexity of proper holomorphic mappings between balls On the complexity of proper holomorphic mappings between balls

2008-02-12

arxiv.org/abs/0802.1739v3

Complex Variables and Elliptic Equations, 54 (2009), nos. 2-3, 187-204

Mathematics

Complex Variables

19 pages, plain tex; improved exposition, added corollary to Theorem 1, strengthened Theorem 4

Scientific paper

10.1080/17476930902759403

We make several new contributions to the study of proper holomorphic mappings
between balls. Our results include a degree estimate for rational proper maps,
a new gap phenomenon for convex families of arbitrary proper maps, and an
interesting result about inverse images.

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