Periodic points of weakly post-critically finite all the way down maps

DOI10.1007/s10231-022-01275-xOpenAlexW4302774260MaRDI QIDQ2699130

Van Tu Le

Publication date: 26 April 2023

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.03625

zbMATH Keywords

eigenvaluesperiodic pointsholomorphic dynamicspost-critically finiteholomorphic endomorphisms

Mathematics Subject Classification ID

Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Dynamical systems over complex numbers (37F99)

Cites Work

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• Teichmüller theory and critically finite endomorphisms
• A polarization identity for multilinear maps
• The Fatou set for critically finite maps
• Some properties of 2-critically finite holomorphic maps of ${\bf P}^2$
• Periodic points of post-critically algebraic holomorphic endomorphisms
• Dynamics of post-critically finite maps in higher dimension
• Fixed points of Koch maps

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