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This topic has appeared in the English Wikipedia rankings 1 time. It first appeared on 2026-08-25 and was most recently seen on 2026-08-25.
In arithmetic geometry, the uniform boundedness conjecture for rational points asserts that for a given number field and a positive integer , there exists a number depending only on and such that for any algebraic curve defined over having genus equal to has at most -rational points. This is a refinement of Faltings' theorem, which asserts that the set of -rational points is necessarily finite.
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