Computing the space of differential forms of a plane curve and its Cartier-Manin matrix
Algebraic Geometry
2022-03-23 v1 Number Theory
Abstract
In this paper, we propose a feasible algorithm to give an explicit basis of the space of regular differential forms on the nonsingular projective model of any given plane algebraic curve. The algorithm is demonstrated for concrete examples, with our implementation over the computer algebra system Magma. As an application, we also describe the Cartier-Manin matrix of the nonsingular projective curve with respect to the basis computed by the algorithm.
Keywords
Cite
@article{arxiv.2203.11801,
title = {Computing the space of differential forms of a plane curve and its Cartier-Manin matrix},
author = {Momonari Kudo and Shushi Harashita},
journal= {arXiv preprint arXiv:2203.11801},
year = {2022}
}
Comments
27 pages, Comments are welcome