Integral Points of Bounded Height on a Log Fano Threefold-Reference-Cited by-同舟云学术

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Integral Points of Bounded Height on a Log Fano Threefold

Published:2022-03-24 Issue:8 Volume:2023 Page:6780-6808
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Wilsch Florian¹

Affiliation:

1. Institute of Science and Technology Austria , Am Campus 1, 3400 Klosterneuburg, Austria

Abstract

Abstract We determine an asymptotic formula for the number of integral points of bounded height on a blow-up of ${\mathbb {P}}^3$ outside certain planes using universal torsors.

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

https://academic.oup.com/imrn/article-pdf/2023/8/6780/49863365/rnac048.pdf

Reference34 articles.

1. Cambridge Studies in Advanced Mathematics;Arzhantsev,2015

2. Toric Fano threefolds;Batyrev;Izv. Akad. Nauk SSSR Ser. Mat.,1981

3. Sur le nombre des points rationnels de hauteur bornée des variétés algébriques;Batyrev;Math. Ann.,1990

4. Manin’s conjecture for toric varieties;Batyrev;J. Algebraic Geom.,1998

5. Forms in many variables;Birch;Proc. Roy. Soc. Ser. A,1961/1962

Cited by 2 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. Integral points of bounded height on a certain toric variety;Transactions of the American Mathematical Society, Series B;2024-02-26

2. INTEGRAL POINTS ON SINGULAR DEL PEZZO SURFACES;Journal of the Institute of Mathematics of Jussieu;2022-11-10

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