Positive currents on non-k\"ahlerian surfaces

TL;DR

This paper classifies non-Kählerian surfaces using dynamical methods, integrating known examples into a new framework to better understand their structure.

Contribution

It introduces a dynamical classification scheme for non-Kählerian surfaces, unifying existing examples within this new perspective.

Findings

Established a dynamical classification of non-Kählerian surfaces

Connected known surfaces to the new classification framework

Provided insights into the structure of non-Kählerian surfaces

Abstract

We propose a classification of non-k\"ahlerian surfaces from a dynamical point of view and show how the known non-k\"ahlerian surfaces fit into it.