paper

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

arXiv:1001.4652 · doi:10.1016/j.crma.2010.10.033

Abstract

The notion of relatedness loci in the parabolic slices Per_1(e^{2πi 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.

6 pages, 1 pstex figure

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