Effective calculation of local Weil functions via presentations of Cartier divisors

TL;DR

This paper develops effective algorithms for calculating local Weil functions on projective varieties using presentations of Cartier divisors, building on previous theoretical frameworks.

Contribution

It introduces a new approach that provides practical algorithms for computing local Weil functions, enhancing prior theoretical methods.

Findings

Developed effective algorithms for local Weil function calculation

Built on presentations of Cartier divisors and previous frameworks

Enabled practical computation on projective varieties

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.