Abstract
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.
Publisher
Cambridge University Press (CUP)
Reference25 articles.
1. [2] Batyrev, V. V. and Tschinkel, Y. , ‘Tamagawa numbers of polarized algebraic varieties’, in Nombre et répartition de points de hauteur bornée, Astérisque, vol. 251 (Société mathématique de France, Paris, 1996), 299–340.
2. Geometric consistency of Manin's conjecture
3. On Manin's conjecture for a family of Châtelet surfaces
4. IGUSA INTEGRALS AND VOLUME ASYMPTOTICS IN ANALYTIC AND ADELIC GEOMETRY
5. Equivariant Compactifications of Two-Dimensional Algebraic Groups
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. Integral points of bounded height on a certain toric variety;Transactions of the American Mathematical Society, Series B;2024-02-26