Effective calculation of local Weil functions via presentations of Cartier divisors

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Auteur principal: Grieve, Nathan
Format: Preprint
Publié: 2025
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author Grieve, Nathan
author_facet Grieve, Nathan
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2510_18284
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Effective calculation of local Weil functions via presentations of Cartier divisors
Grieve, Nathan
Algebraic Geometry
Number Theory
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.
title Effective calculation of local Weil functions via presentations of Cartier divisors
topic Algebraic Geometry
Number Theory
url https://arxiv.org/abs/2510.18284