An Evertse-Ferretti Nevanlinna constant and its consequences

TL;DR

This paper introduces a new Nevanlinna constant called the Evertse-Ferretti constant, compares it with existing constants, and uses it to recover several known results in value distribution theory.

Contribution

It defines a new Nevanlinna constant and demonstrates its utility by recovering classical results, enhancing the theoretical framework.

Findings

Comparison between Evertse-Ferretti and birational Nevanlinna constants

Recovery of Faltings' 1999 example using the new constant

Extension of Nevanlinna theory tools

Abstract

In this paper, we introduce the notion of an Evertse-Ferretti Nevanlinna constant and compare it with the birational Nevanlinna constant introduced by the authors in a recent joint paper. We then use it to recover several previously known results. This includes a 1999 example of Faltings from his Baker's Garden article.