关于雅各布有非三角 p 扭转的公因子矩阵的比例

IF 0.9 2区数学 Q2 MATHEMATICS

Journal of Combinatorial Theory Series A Pub Date : 2024-09-16 DOI:10.1016/j.jcta.2024.105953

Sergio Ricardo Zapata Ceballos

引用次数: 0

摘要

我们研究了雅各布具有非难 p 扭转的度量矩阵的比例。我们在这些雅各布与配置超曲面上的 Fp 有理点之间建立了对应关系，从而将它们的比例联系起来。通过计算有限域上的点，我们证明这些雅各布的比例在渐近上等同于 1/p。

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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On the proportion of metric matroids whose Jacobians have nontrivial p-torsion

We study the proportion of metric matroids whose Jacobians have nontrivial p-torsion. We establish a correspondence between these Jacobians and the $F_{p}$ -rational points on configuration hypersurfaces, thereby relating their proportions. By counting points over finite fields, we prove that the proportion of these Jacobians is asymptotically equivalent to $1 / p$ .

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来源期刊

Journal of Combinatorial Theory Series A 数学-数学

CiteScore

2.90

自引率

9.10%

发文量

审稿时长

12 months

期刊介绍： The Journal of Combinatorial Theory publishes original mathematical research concerned with theoretical and physical aspects of the study of finite and discrete structures in all branches of science. Series A is concerned primarily with structures, designs, and applications of combinatorics and is a valuable tool for mathematicians and computer scientists.