Multiples of integral points on elliptic curves
نویسندگان
چکیده
منابع مشابه
Multiples of Integral Points on Elliptic Curves
If E is a minimal elliptic curve defined over Z, we obtain a bound C, depending only on the global Tamagawa number of E, such that for any point P ∈ E(Q), nP is integral for at most one value of n > C. As a corollary, we show that if E/Q is a fixed elliptic curve, then for all twists E′ of E of sufficient height, and all torsion-free, rank-one subgroups Γ ⊆ E′(Q), Γ contains at most 6 integral ...
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Let X be a variety of logarithmic general type, defined over a number field K. Let S be a finite set of places in K and let OK,S be the ring of S-integers. Suppose that X is a model of X over Spec OK,S . As a natural generalizasion of theorems of Siegel and Faltings, It was conjectured by S. Lang and P. Vojta ([Vojta], conjecture 4.4) that the set of S-integral points X (OK,S) is not Zariski de...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2009
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2008.08.001