English

Perturbations d'exemples de Latt\`es et dimension de Hausdorff du lieu de bifurcation

Dynamical Systems 2016-10-28 v1 Complex Variables

Abstract

We give an estimate for the Hausdorff dimension of the bifurcation locus of a family of endomorphisms of Pk(C)\mathbb{P}^k (\mathbb{C}). This dimension is maximal near isolated Latt\`es examples.

Keywords

Cite

@article{arxiv.1610.08938,
  title  = {Perturbations d'exemples de Latt\`es et dimension de Hausdorff du lieu de bifurcation},
  author = {François Berteloot and Fabrizio Bianchi},
  journal= {arXiv preprint arXiv:1610.08938},
  year   = {2016}
}

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