Height uniformity for integral points on elliptic curves
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Publication:5714401
DOI10.1090/S0002-9947-05-03760-8zbMath1118.14026OpenAlexW1801611521MaRDI QIDQ5714401
Publication date: 2 January 2006
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9947-05-03760-8
heightheight zeta functionample divisorcanonical divisorbig divisorvariety of general typeVojta conjecture
Rational points (14G05) Elliptic curves over global fields (11G05) Varieties over global fields (11G35) Heights (11G50)
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The 𝐴𝐵𝐶-Conjecture implies uniform bounds on dynamical Zsigmondy sets ⋮ Dynamical Galois groups of trinomials and Odoni's conjecture
Cites Work
- Diophantine approximation on abelian varieties
- Erratum: Rational points of bounded height on Fano varieties
- Sometimes effective Thue-Siegel-Roth-Schmidt-Nevanlinna bounds, or better
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- Autour d'une conjecture de Serge Lang. (Around a conjecture by Serge Lang)
- On the number of rational points of bounded height on algebraic varieties
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- Number theory III: Diophantine geometry
- Uniformity of stably integral points on elliptic curves
- Uniform boundedness for rational points
- Resolution of singularities of an algebraic variety over a field of characteristic zero. I
- Bielliptic Curves and Symmetric Products
- Rational Points on Symmetric Products of a Curve
- Uniform bounds for stably integral points on elliptic curves
- Heights and the specialization map for families of abelian varieties.
- Uniformity of rational points
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