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Un phénomène de concentration de genre

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Résumé

Nous montrons que le genre des préimages d’une droite projective par un endomorphisme holomorphe générique de se concentre sur le support de la mesure de Green.

A phenomenon of concentration of genus

Abstract.

We show that the main part of the genus of the preimages of a projective line by a generic holomorphic endomorphism of goes to the support of the Green measure.

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  1. Mathématique, Bât. 425, Université Paris-Sud (Paris 11), 91405, Orsay, France

    Henry de Thélin

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  1. Henry de Thélin
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Correspondence to Henry de Thélin.

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Mathematics Subject Classification (2000): 32H50, 32U40, 32Q45

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Thélin, H. Un phénomène de concentration de genre. Math. Ann. 332, 483–498 (2005). https://doi.org/10.1007/s00208-005-0631-9

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  • DOI: https://doi.org/10.1007/s00208-005-0631-9

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