The Jacobian cocycle and equidistribution towards the Green current

Details The Jacobian cocycle and equidistribution towards the Green current The Jacobian cocycle and equidistribution towards the Green current

2011-03-23

arxiv.org/abs/1103.4633v1

Mathematics

Dynamical Systems

Scientific paper

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.

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