Tautness and Fatou Components in P^2
Complex Variables
2010-06-04 v1 Dynamical Systems
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.
Keywords
Cite
@article{arxiv.1006.0624,
title = {Tautness and Fatou Components in P^2},
author = {Han Peters and Crystal Zeager},
journal= {arXiv preprint arXiv:1006.0624},
year = {2010}
}
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8 pages