On the complexity of proper holomorphic mappings between balls
classification
🧮 math.CV
keywords
properballsholomorphicmappingsmapsarbitrarycomplexitycontributions
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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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