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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.AG2016
Quasi-compactness of Néron models, and an application to torsion points
David Holmes
We prove that Néron models of jacobians of generically-smooth nodal curves over bases of arbitrary dimension are quasi-compact (hence of finite type) whenever they exist. We give a…