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arXiv · 1610.08938

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

François Berteloot·Fabrizio Bianchi
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Abstract

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

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François Berteloot, Fabrizio Bianchi. 2016-10-27. Perturbations d'exemples de Latt\`es et dimension de Hausdorff du lieu de bifurcation. https://arxiv.org/abs/1610.08938

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