中文

环面簇有理点的多重高度分析

数论 2026-03-16 v2 代数几何

摘要

我们利用将点数提升至万有挠子空间的方法,研究了 Q\mathbf{Q} 上光滑、射影且分裂的环面簇的有理点的多重高度分布。

关键词

引用

@article{arxiv.2412.04226,
  title  = {Multi-height analysis of rational points of toric varieties},
  author = {Nicolas Bongiorno},
  journal= {arXiv preprint arXiv:2412.04226},
  year   = {2026}
}

备注

Some corrections have been made, in particular related to the computation of the type of the torsor under the Neron-Severi torus constructed via the Cox ring. The exposition of the paper has also been improved following the referee's comments. Accepted for publication in the Journal de Theorie des Nombres de Bordeaux