Corpus ID: 18225666

Nevanlinna Theory and Diophantine Approximation

@inproceedings{Vojta1999NevanlinnaTA,
  title={Nevanlinna Theory and Diophantine Approximation},
  author={Paul Vojta},
  year={1999}
}
As observed originally by C. Osgood, certain statements in value distribution theory bear a strong resemblance to certain statements in diophantine approximation, and their corollaries for holomorphic curves likewise resemble statements for integral and rational points on algebraic varieties. For example, if X is a compact Riemann surface of genus > 1, then there are no non-constant holomorphic maps f : C → X; on the other hand, if X is a smooth projective curve of genus > 1 over a number field… Expand

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