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UBC Theses and Dissertations

Points of small height on plane curves Radzimski, Vanessa Elena


Let K be an algebraically closed field, and let C be an irreducible plane curve, defined over the algebraic closure of K(t), which is not defined over K. We show that there exists a positive real number c₀ such that if P is any point on the curve C whose Weil height is bounded above by c₀, then the coordinates of P belong to K.

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Attribution-NonCommercial-NoDerivs 2.5 Canada