Tautness and Fatou Components in P^2

Details Tautness and Fatou Components in P^2 Tautness and Fatou Components in P^2

2010-06-03

arxiv.org/abs/1006.0624v1

Mathematics

Complex Variables

8 pages

Scientific paper

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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