Algebraic webs invariant under endomorphisms
Marius Dabija, Mattias Jonsson
TL;DR
This paper classifies certain noninvertible holomorphic selfmaps of the projective plane that preserve algebraic webs, providing new examples of critically finite maps with potential implications in complex dynamics.
Contribution
It introduces a classification of noninvertible holomorphic maps preserving algebraic webs, highlighting new critically finite map examples.
Findings
Classification of noninvertible holomorphic selfmaps
Examples of critically finite maps
Insights into algebraic web invariance
Abstract
We classify noninvertible, holomorphic selfmaps of the projective plane that preserve an algebraic web. In doing so, we obtain interesting examples of critically finite maps.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Advanced Differential Equations and Dynamical Systems · advanced mathematical theories