Computing Zeta Functions of Cyclic Covers in Large Characteristic
Number Theory
2019-02-13 v2 Algebraic Geometry
Abstract
We describe an algorithm to compute the zeta function of a cyclic cover of the projective line over a finite field of characteristic that runs in time . We confirm its practicality and effectiveness by reporting on the performance of our SageMath implementation on a range of examples. The algorithm relies on Gon\c{c}alves's generalization of Kedlaya's algorithm for cyclic covers, and Harvey's work on Kedlaya's algorithm for large characteristic.
Keywords
Cite
@article{arxiv.1806.02262,
title = {Computing Zeta Functions of Cyclic Covers in Large Characteristic},
author = {Vishal Arul and Alex J. Best and Edgar Costa and Richard Magner and Nicholas Triantafillou},
journal= {arXiv preprint arXiv:1806.02262},
year = {2019}
}
Comments
16 pages; v2 with minor changes