INTEGRAL POINTS ON SINGULAR DEL PEZZO SURFACES

IF 1.1 2区数学 Q1 MATHEMATICS

Journal of the Institute of Mathematics of Jussieu Pub Date : 2021-09-14 DOI:10.1017/S1474748022000482

U. Derenthal, Florian Wilsch

引用次数: 2

Abstract

In order to study integral points of bounded log-anticanonical height on weak del Pezzo surfaces, we classify weak del Pezzo pairs. As a representative example, we consider a quartic del Pezzo surface of singularity type $\mathbf {A}_1+\mathbf {A}_3$ and prove an analogue of Manin’s conjecture for integral points with respect to its singularities and its lines.

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奇异DEL PEZZO曲面上的积分点

为了研究弱del-Pezzo曲面上有界对数反正则高度的积分点，我们对弱del-Pazzo对进行了分类。作为一个代表性的例子，我们考虑奇异类型$\mathbf的四次德尔佩佐曲面{A}_1+\mathbf{A}_3$，并证明了关于积分点的奇点及其线的Manin猜想的类似性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of the Institute of Mathematics of Jussieu 数学-数学

CiteScore

2.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of the Institute of Mathematics of Jussieu publishes original research papers in any branch of pure mathematics; papers in logic and applied mathematics will also be considered, particularly when they have direct connections with pure mathematics. Its policy is to feature a wide variety of research areas and it welcomes the submission of papers from all parts of the world. Selection for publication is on the basis of reports from specialist referees commissioned by the Editors.