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math.NT2016
Torsion points and height jumping in higher-dimensional families of abelian varieties
David Holmes
In 1983 Silverman and Tate showed that the set of points in a 1-dimensional family of abelian varieties where a section of infinite order has `small height' is finite. We conjectur…
math.NT2012
Distributions of rational points on Kummer Varieties
David Holmes, René Pannekoek
We prove several results on the number of rational points on open subsets of Kummer varieties of arbitrary dimension. Some of our results are unconditional, and others depend on th…