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Integral points on quadratic twists and linear growth for certain elliptic fibrations (1308.0060v1)
Published 31 Jul 2013 in math.NT and math.AG
Abstract: We prove that the number of rational points of bounded height on certain del Pezzo surfaces of degree 1 defined over Q grows linearly, as predicted by Manin's conjecture. Along the way, we investigate the average number of integral points of small naive height on quadratic twists of a fixed elliptic curve with full rational 2-torsion.
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