Multiplier ideal sheaves, Nevanlinna theory, and diophantine approximation
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.
 Publication:

arXiv eprints
 Pub Date:
 September 2007
 arXiv:
 arXiv:0709.3322
 Bibcode:
 2007arXiv0709.3322V
 Keywords:

 Mathematics  Number Theory;
 Mathematics  Algebraic Geometry;
 11J97 (Primary);
 14B05 (Secondary)
 EPrint:
 5 pages