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arXiv · 2210.13559

The leading constant for rational points in families

Daniel Loughran·Nick Rome·Efthymios Sofos
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Abstract

We prove asymptotics for Serre's problem on the number of diagonal planar conics with a rational point and use this to put forward a new conjecture on counting the number of varieties in a family which are everywhere locally soluble.

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Daniel Loughran, Nick Rome, Efthymios Sofos. 2022-10-24. The leading constant for rational points in families. https://arxiv.org/abs/2210.13559

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