The Jacobian cocycle and equidistribution towards the Green current
Dynamical Systems
2011-03-25 v1
Abstract
Given a holomorphic self-map of complex projective space of degree larger than one, we prove that there exists a finite collection of totally invariant algebraic sets with the following property: given any positive closed (1,1)-current of mass 1 with no mass on any element of this family, the sequence of normalized pull-backs of the current converges to the Green current. Under suitable geometric conditions on the collection of totally invariant algebraic sets, we prove a sharper equidistribution result.
Keywords
Cite
@article{arxiv.1103.4633,
title = {The Jacobian cocycle and equidistribution towards the Green current},
author = {Manuel Rodrigo Parra},
journal= {arXiv preprint arXiv:1103.4633},
year = {2011}
}