English

Courants dynamiques pluripolaires

Dynamical Systems 2010-03-12 v1 Complex Variables

Abstract

We show the existence of birational self-maps f of P^k which are algebraically stable with algebraic degree d, for which there is a unique positive closed (1,1) current T satisfying f^*T=d T and ||T||=1 and for which the current T gives total mass to a pluripolar set.

Cite

@article{arxiv.1003.2219,
  title  = {Courants dynamiques pluripolaires},
  author = {Xavier Buff},
  journal= {arXiv preprint arXiv:1003.2219},
  year   = {2010}
}
R2 v1 2026-06-21T14:56:24.759Z