English

Equidistribution speed towards the Green current for endomorphisms of P^k

Complex Variables 2010-11-04 v1 Dynamical Systems

Abstract

Let f be a non-invertible holomorphic endomorphism of P^k. For a hypersurface H of P^k, generic in the Zariski sense, we give an explicit speed of convergence of f^{-n}(H) towards the dynamical Green (1,1)-current of f.

Keywords

Cite

@article{arxiv.1011.0641,
  title  = {Equidistribution speed towards the Green current for endomorphisms of P^k},
  author = {Johan Taflin},
  journal= {arXiv preprint arXiv:1011.0641},
  year   = {2010}
}