Multiplier ideal sheaves, Nevanlinna theory, and diophantine approximation

Details Multiplier ideal sheaves, Nevanlinna theory, and diophantine approximation Multiplier ideal sheaves, Nevanlinna theory, and diophantine approximation

2007-09-20

arxiv.org/abs/0709.3322v1

Mathematics

Number Theory

5 pages

Scientific paper

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.

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