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Counting rational points on quartic del Pezzo surfaces with a rational conic

Published 28 Sep 2016 in math.NT and math.AG | (1609.09057v4)

Abstract: Upper and lower bounds, of the expected order of magnitude, are obtained for the number of rational points of bounded height on any quartic del Pezzo surface over $\mathbb{Q}$ that contains a conic defined over $\mathbb{Q}$.

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