arXiv subjects

Crystal Zeager

Publications and source records attributed to Crystal Zeager.

2 recordsLinked to original sources

arXiv2010

Tautness and Fatou Components in P^2

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.

math.CV↗

arXiv2010

Comparison of Invariant Metrics

We estimate the boundary behavior of the Kobayashi metric on $\C\sm\set{0,1}$. We also compare the Bergman metric on the ring domain in $\C^{2}$ to the Bergman metric on the ball.

math.CV↗