Multiplier ideal sheaves, Nevanlinna theory, and Diophantine approximation

Paul Vojta ()
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Paul Vojta: University of California, Department of Mathematics

A chapter in Number Theory, Analysis and Geometry, 2012, pp 647-658 from Springer

Abstract: Abstract This paper 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: Nevanlinna theory; multiplier ideal sheaf; Second Main Theorem (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4614-1260-1_28

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DOI: 10.1007/978-1-4614-1260-1_28

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