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arXiv · 1001.4652

A model for the parabolic slices Per_1(e^{2\pi i p/q}) in moduli space of quadratic rational maps

Eva Uhre
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Abstract

The notion of relatedness loci in the parabolic slices Per_1(e^{2\pi i p/q}) in moduli space of quadratic rational maps is introduced. They are counterparts of the disconnectedness or escape locus in the slice of quadratic polynomials. A model for these loci is presented, and a strategy of proof of the faithfulness of the model is given.

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Eva Uhre. 2010-01-26. A model for the parabolic slices Per_1(e^{2\pi i p/q}) in moduli space of quadratic rational maps. https://doi.org/10.1016/j.crma.2010.10.033

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