English

Regularity of the equilibrium measure for meromorphic correspondences

Complex Variables 2023-01-31 v1 Dynamical Systems

Abstract

Let ff be a meromorphic correspondence on a compact K\"ahler manifold XX of dimension kk. Assume that its topological degree is larger than the dynamical degree of order k1k-1. We obtain a quantitative regularity of the equilibrium measure of ff in terms of its super-potentials.

Keywords

Cite

@article{arxiv.2301.12786,
  title  = {Regularity of the equilibrium measure for meromorphic correspondences},
  author = {Tien-Cuong Dinh and Hao Wu},
  journal= {arXiv preprint arXiv:2301.12786},
  year   = {2023}
}