SPECIAL CURVES AND POSTCRITICALLY FINITE POLYNOMIALS

We study the postcritically finite maps within the moduli space of complex polynomial dynamical systems. We characterize rational curves in the moduli space containing an infinite number of postcritically finite maps, in terms of critical orbit relations, in two settings: (1) rational curves that ar...

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Bibliographic Details
Main Authors: MATTHEW BAKER, LAURA DE MARCO
Format: Article
Language:English
Published: Cambridge University Press 2013-01-01
Series:Forum of Mathematics, Pi
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050508613000024/type/journal_article