Vojta's conjecture

In mathematics, Vojta's conjecture is a conjecture introduced by Vojta (1987) about heights of points on varieties over number fields. The conjecture was motivated by an analogy between diophantine approximation and Nevanlinna theory (value distribution theory) in complex analysis. It implies many of the other conjectures in diophantine approximation theory.

References

• Vojta, Paul (1987), Diophantine approximations and value distribution theory, Lecture Notes in Mathematics 1239, Berlin, New York: Springer-Verlag, doi:10.1007/BFb0072989, ISBN 978-3-540-17551-3, MR883451 

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