Density of rational points on some quadric bundle threefolds
Number Theory
2022-07-18 v2
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.
Cite
@article{arxiv.2204.09322,
title = {Density of rational points on some quadric bundle threefolds},
author = {Dante Bonolis and Tim Browning and Zhizhong Huang},
journal= {arXiv preprint arXiv:2204.09322},
year = {2022}
}
Comments
65 pages; streamlined arguments