51 citations · 103 across the 13 of their papers we have counts for
13 papers
Birational Nevanlinna constants, beta constants, and diophantine approximation to closed subschemes
Paul Vojta
In an earlier paper (joint with Min Ru), we proved a result on diophantine approximation to Cartier divisors, extending a 2011 result of P. Autissier. This was recently extended to…
An Evertse-Ferretti Nevanlinna constant and its consequences
Min Ru, Paul Vojta
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…
Roth's Theorem over arithmetic function fields
Paul Vojta
Roth's theorem is extended to finitely generated field extensions of , using Moriwaki's framework for heights.
A birational Nevanlinna constant and its consequences
Min Ru, Paul Vojta
The purpose of this paper is to modify the notion of the Nevanlinna constant , recently introduced by the first author, for an effective Cartier divisor on a…
Transplanting Faltings' garden
Paul Vojta
In his contribution to the Baker's Garden book, Faltings gives a family of examples of irreducible divisors on for which has only finitely many…
Multiplier ideal sheaves, Nevanlinna theory, and diophantine approximation
Paul Vojta
This note states a conjecture for Nevanlinna theory or diophantine approximation, with a sheaf of ideals in place of the normal crossings divisor. This is done by using a correctio…