Institute for Mathematical Sciences

Preprint ims12-08

Francois Berteloot, Thomas Gauthier
On the geometry of bifurcation currents for quadratic rational maps

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.

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