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In mathematics, Vojta's conjecture is a conjecture introduced by Paul Vojta about heights of points on algebraic 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 other conjectures in Diophantine approximation, Diophantine equations, arithmetic geometry, and mathematical logic.

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  • ヴォイタ予想 (ja)
  • Vojta's conjecture (en)
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  • In mathematics, Vojta's conjecture is a conjecture introduced by Paul Vojta about heights of points on algebraic 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 other conjectures in Diophantine approximation, Diophantine equations, arithmetic geometry, and mathematical logic. (en)
  • 数学では、ヴォイタ予想(Vojta's conjecture)は、(Paul Vojta)1987により導入された、代数体上の代数多様体の点の高さについての予想である。予想は、ディオファントス近似と複素解析のネヴァンリンナ理論(Nevanlinna theory)（値分布論）の間の類似を動機としていた。ヴォイタ予想は、多くのディオファントス近似論やディオファントス方程式、数論幾何、ロジックの予想を含んでいる。 (ja)
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  • Paul Vojta (en)
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  • In mathematics, Vojta's conjecture is a conjecture introduced by Paul Vojta about heights of points on algebraic 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 other conjectures in Diophantine approximation, Diophantine equations, arithmetic geometry, and mathematical logic. (en)
  • 数学では、ヴォイタ予想(Vojta's conjecture)は、(Paul Vojta)1987により導入された、代数体上の代数多様体の点の高さについての予想である。予想は、ディオファントス近似と複素解析のネヴァンリンナ理論(Nevanlinna theory)（値分布論）の間の類似を動機としていた。ヴォイタ予想は、多くのディオファントス近似論やディオファントス方程式、数論幾何、ロジックの予想を含んでいる。 (ja)
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