Counting rational points on quartic del Pezzo surfaces with a rational conic
classification
🧮 math.NT
math.AG
keywords
rationalconicmathbbpezzopointsquarticboundedbounds
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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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