Tautness and Fatou Components in P²
classification
🧮 math.CV
math.DS
keywords
componentsfatoutautnessattractionbasinstautcasescomplete
read the original abstract
We investigate the tautness of invariant Fatou components for holomorphic endomorphisms of P^2. Previously, only basins of attraction were known to be taut. We show that two other kinds of recurrent Fatou components are taut. In the first of these cases, as well as for basins of attraction, we show that the Fatou components are in fact Kobayashi complete, which implies tautness.
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