The proportion of plane cubic curves over ℚ that everywhere locally have a point
2016 ◽
Vol 12
(04)
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pp. 1077-1092
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We show that the proportion of plane cubic curves over [Formula: see text] that have a [Formula: see text]-rational point is a rational function in [Formula: see text], where the rational function is independent of [Formula: see text], and we determine this rational function explicitly. As a consequence, we obtain the density of plane cubic curves over [Formula: see text] that have points everywhere locally; numerically, this density is shown to be [Formula: see text].
1981 ◽
Vol 128
(6)
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pp. 275
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2020 ◽
Vol 1664
(1)
◽
pp. 012149
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