On the geometry of bifurcation currents for quadratic rational maps
Dynamical Systems
2015-07-08 v1
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.
Keywords
Cite
@article{arxiv.1211.4810,
title = {On the geometry of bifurcation currents for quadratic rational maps},
author = {François Berteloot and Thomas Gauthier},
journal= {arXiv preprint arXiv:1211.4810},
year = {2015}
}