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Mathematics > Algebraic Geometry

arXiv:2510.18284 (math)
[Submitted on 21 Oct 2025 ]

Title: Effective calculation of local Weil functions via presentations of Cartier divisors

Title: 通过Cartier除子的表示有效计算局部Weil函数

Authors:Nathan Grieve
Abstract: We address the question of effectivity for calculation of local Weil functions from the viewpoint of presentations of Cartier divisors. This builds on the approach of Bombieri and Gubler as well as the perspective of our earlier works. Among other features, our approach here gives rise to theoretical effective algorithms for calculating local Weil functions on projective varieties.
Abstract: 我们从Cartier除子的表示观点出发,探讨了局部Weil函数计算的效果性问题。 这建立在Bombieri和Gubler的方法以及我们之前工作的视角之上。 在其他特性中,我们在此提出的方法为在射影簇上计算局部Weil函数提供了理论上的有效算法。
Comments: Accepted by Houston J. Math
Subjects: Algebraic Geometry (math.AG) ; Number Theory (math.NT)
Cite as: arXiv:2510.18284 [math.AG]
  (or arXiv:2510.18284v1 [math.AG] for this version)
  https://doi.org/10.48550/arXiv.2510.18284
arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Nathan Grieve [view email]
[v1] Tue, 21 Oct 2025 04:18:22 UTC (11 KB)
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