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On the complexity of proper holomorphic mappings between balls. (English) Zbl 1171.32009

Authors’ abstract: This article contributes 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.

MSC:

32H35 Proper holomorphic mappings, finiteness theorems
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