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.

Cited by in corpus (3)

• Bifurcation measures and quadratic rational maps
• Distribution of postcritically finite polynomials
• Discontinuity of a degenerating escape rate