Multiplier ideal sheaves, Nevanlinna theory, and diophantine approximation
Number Theory
2007-09-24 v1 Algebraic Geometry
Abstract
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 correction term involving a multiplier ideal sheaf. This new conjecture trivially implies earlier conjectures in Nevanlinna theory or diophantine approximation, and in fact is equivalent to these conjectures. Although it does not provide anything new, it may be a more convenient formulation for some applications.
Keywords
Cite
@article{arxiv.0709.3322,
title = {Multiplier ideal sheaves, Nevanlinna theory, and diophantine approximation},
author = {Paul Vojta},
journal= {arXiv preprint arXiv:0709.3322},
year = {2007}
}
Comments
5 pages