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math.AG2014
A Néron model of the universal jacobian
David Holmes
The jacobian of the universal curve over is an abelian scheme over . Our main result is the construction of an algebraic space $β\colon \tild…
math.NT2014★ 4 cited
The Brauer-Manin obstruction on Kummer varieties and ranks of twists of abelian varieties
David Holmes, René Pannekoek
Let r > 0 be an integer. We present a sufficient condition for an abelian variety A over a number field k to have infinitely many quadratic twists of rank at least r, in terms of d…
math.AG2014
Néron models of jacobians over base schemes of dimension greater than 1
David Holmes
We investigate to what extent the theory of Néron models of jacobians and of abel-jacobi maps extends to relative curves over base schemes of dimension greater than 1. We give a ne…