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math.AG2007
K3 surfaces, rational curves, and rational points
Arthur Baragar, David McKinnon
We prove that for any of a wide class of elliptic surfaces defined over a number field , if there is an algebraic point on that lies on only finitely many rational curve…
math.AG2006
Canonical vector heights on K3 surfaces with Picard number three -- addendum
Arthur Baragar, Ronald van Luijk
In an earlier paper by the first author, an argument for the nonexistence of canonical vector heights on K3 surfaces of Picard number three was given, based on an explicit surface…