Minoration de la dimension de Hausdorff du courant de Green

TL;DR

This paper establishes a lower bound for the Hausdorff dimension of the support of the Green current linked to certain meromorphic maps, contributing to the understanding of the geometric complexity of these currents.

Contribution

It provides a novel lower bound for the Hausdorff dimension of Green currents' support in the context of meromorphic maps, advancing geometric analysis in complex dynamics.

Findings

Lower bound for Hausdorff dimension established

Supports of Green currents have complex geometric structure

Results applicable to specific classes of meromorphic maps

Abstract

We give a lower bound for the Hausdorff dimension of the support of the Green current associated to some meromorphic maps.