On the geometry of bifurcation currents for quadratic rational maps-Reference-Cited by-同舟云学术

On the geometry of bifurcation currents for quadratic rational maps

Published:2014-03-14 Issue:5 Volume:35 Page:1369-1379
ISSN:0143-3857
Container-title:Ergodic Theory and Dynamical Systems
language:en
Short-container-title:Ergod. Th. Dynam. Sys.

Author:

BERTELOOT FRANÇOIS,GAUTHIER THOMAS

Abstract

We describe the behaviour at infinity of the bifurcation current in the moduli space of quadratic rational maps. To this purpose, we extend it to some closed, positive

$(1,1)$

-current on a two-dimensional complex projective space and then compute the Lelong numbers and the self-intersection of the extended current.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

Reference20 articles.

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3. Bifurcation currents in holomorphic dynamics on ℙk;Bassanelli;J. Reine Angew. Math.,2007

4. [Dem] J.-P. Demailly . Complex analytic and differential geometry, 2011. Freely accessible book (http://www-fourier.ujf-grenoble.fr/demailly/manuscripts/agbook.pdf).

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