Green functions and weights of polynomial skew products on C^2

Published 5 May 2012 in math.DS | (1205.1121v1)

Abstract: We study the dynamics of polynomial skew products on C^2. By using suitable weights, we prove the existence of several types of Green functions. Largely, continuity and plurisubharmonicity follow. Moreover, it relates to the dynamics of the rational extensions to weighted projective spaces.

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Authors (1)

Kohei Ueno

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