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- W2164307950 abstract "We study the basic height conjecture for points on curves defined over number fields and show: On any algebraic curve defined over a number field the set of algebraic points contains an unrestricted subset of infinite cardinality such that for all of its points their canonical height is bounded in terms of a small power of their root discriminant. In addition, if we assume GRH, then the upper bound is, as it is conjectured, linear in the logarithm of the root discriminant." @default.
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- W2164307950 date "2005-01-01" @default.
- W2164307950 modified "2023-10-16" @default.
- W2164307950 title "On the Height Conjecture for Algebraic Points on Curves Defined over Number Fields" @default.
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- W2164307950 doi "https://doi.org/10.1007/0-8176-4447-4_12" @default.
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