Density of rational points on some quadric bundle threefolds-Reference-Cited by-同舟云学术

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Density of rational points on some quadric bundle threefolds

Published:2024-04-15 Issue: Volume: Page:
ISSN:0025-5831
Container-title:Mathematische Annalen
language:en
Short-container-title:Math. Ann.

Author:

Bonolis Dante,Browning Tim,Huang Zhizhong

Abstract

AbstractWe 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).

Funder

Austrian Science Fund

Institute of Science and Technology

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s00208-024-02854-4.pdf

Reference28 articles.

1. Batyrev, V., Tschinkel, Yu.: Manin’s conjecture for toric varieties. J. Alg. Geom. 7, 15–53 (1998)

2. Blomer, V., Brüdern, J., Derenthal, U., Gagliardi, G.: The Manin–Peyre conjecture for smooth spherical Fano varieties of semisimple rank one. Forum Math. Sigma 12, e11, 93pp (2024)

3. Browning, T.D.: Density of integer solutions to diagonal quadratic forms. Monatshefte Math. 152, 13–38 (2007)

4. Browning, T.D., Heath-Brown, D.R.: Counting rational points on quadric surfaces. Discrete Analysis :15, 29 pp (2018)

5. Browning, T.D., Heath-Brown, D.R.: Density of rational points on a quadric bundle in $$\mathbb{P} ^3\times \mathbb{P} ^3$$. Duke Math. J. 169, 3099–3165 (2020)

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The Manin–Peyre conjecture for smooth spherical Fano threefolds;Selecta Mathematica;2024-07-12

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