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arXiv · 2204.09322

Density of rational points on some quadric bundle threefolds

Dante Bonolis·Tim Browning·Zhizhong Huang
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Abstract

We prove the Manin-Peyre conjecture for the number of rational points of bounded height outside of a thin subset on a family of Fano threefolds of bidegree (1,2). The proof uses a mixture of the circle method and techniques from the geometry of numbers.

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Dante Bonolis, Tim Browning, Zhizhong Huang. 2022-04-20. Density of rational points on some quadric bundle threefolds. https://arxiv.org/abs/2204.09322

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