Comment on: Dense entire curves .. [arXiv:1905.01104], by F. Campana and J. Winkelmann

TL;DR

This paper constructs dense holomorphic curves that cannot be lifted to any ramified cover, providing insights into the structure of such curves in complex geometry.

Contribution

It introduces a method to construct dense holomorphic curves that do not lift to ramified covers, advancing understanding of their properties.

Findings

Dense holomorphic curves exist without liftings to ramified covers

Provides explicit constructions of such curves

Enhances knowledge of complex geometric structures

Abstract

We construct dense holomorphic curves that do not lift to any ramified cover.