no. 23-24
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.

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.

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.

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://www.numdam.org/articles/10.1016/j.crma.2010.10.033/

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