Geodesic
Dynamical Systems
A model for the parabolic slices Per1(e2πip/q) in moduli space of quadratic rational maps
[Un modèle pour les sections paraboliques Per1(e2πip/q) de l'espace des modules des fractions rationnelles quadratiques]

Présenté par : Étienne Ghys

Uhre, Eva1, 2
1 Institut de mathématiques de Toulouse, Université Paul-Sabatier, 31062 Toulouse cedex, France
2 NSM, Roskilde University, 4000 Roskilde, Denmark
Comptes Rendus. Mathématique, Tome 348 (2010) no. 23-24, pp. 1327-1330.

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The notion of relatedness loci in the parabolic slices Per1(e2πip/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.

Nous introduisons la notion de lieux de parenté dans les sections paraboliques Per1(e2πip/q) de l'espace des modules des fractions rationnelles quadratiques. Ce sont des analogues du lieu de non-connexité dans la section correspondant aux polynômes quadratiques. Nous présentons un modèle pour ces lieux, et donnons une stratégie de preuve de la fidélité de ce modèle.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2010.10.033

Uhre, Eva 1, 2

1 Institut de mathématiques de Toulouse, Université Paul-Sabatier, 31062 Toulouse cedex, France
2 NSM, Roskilde University, 4000 Roskilde, Denmark 
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Uhre, Eva. A model for the parabolic slices $ {\mathrm{Per}}_{1}({e}^{2\pi ip/q})$ in moduli space of quadratic rational maps. Comptes Rendus. Mathématique, Tome 348 (2010) no. 23-24, pp. 1327-1330. doi : 10.1016/j.crma.2010.10.033. http://geodesic.mathdoc.fr/articles/10.1016/j.crma.2010.10.033/

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