Irreducibility of periodic curves of cubic polynomials
Jan Kiwi - Pontificia Universidad Catolica de Chile
In the moduli space of one variable complex cubic polynomials with a marked critical point, given any $p \ge 1$, we prove that the loci formed by polynomials with the marked critical point periodic of period $p$ is an irreducible curve. Our methods rely on techniques used to study one-complex-dimensional parameter spaces. This is joint work with Matthieu Arfeux.
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