The canonical ring of a stacky curve
Algebraic Geometry
2022-03-18 v4
Abstract
Generalizing the classical theorems of Max Noether and Petri, we describe generators and relations for the canonical ring of a stacky curve, including an explicit Gr\"obner basis. We work in a general algebro-geometric context and treat log canonical and spin canonical rings as well. As an application, we give an explicit presentation for graded rings of modular forms arising from finite-area quotients of the upper half-plane by Fuchsian groups.
Keywords
Cite
@article{arxiv.1501.04657,
title = {The canonical ring of a stacky curve},
author = {John Voight and David Zureick-Brown},
journal= {arXiv preprint arXiv:1501.04657},
year = {2022}
}
Comments
Final version; to appear in Memoirs of the American Mathematical Society