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Theses

Concentration de genre et laminarité

Abstract : In this thesis, we study two problems. The first one is to know if limits of analytic cuves are laminations in a weak sense. We show that it happens when the genus of the analytic curves is bounded from above by their area. The second one concerns holomorphic dynamics in the complex projective plane. We would like to see where goes the genus of the preimages of a projective line by an endomorphism. For a generic endomorphism, we show that there exists such a concentration of the genus on the support of Green's measure.
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https://tel.archives-ouvertes.fr/tel-00005171
Contributor : Henry de Thelin <>
Submitted on : Monday, March 1, 2004 - 11:11:31 AM
Last modification on : Friday, January 10, 2020 - 9:08:06 PM
Long-term archiving on: : Tuesday, September 7, 2010 - 5:01:10 PM

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  • HAL Id : tel-00005171, version 1

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Henry de Thélin. Concentration de genre et laminarité. Mathématiques [math]. Université Paul Sabatier - Toulouse III, 2003. Français. ⟨tel-00005171⟩

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