Spin canonical rings of log stacky curves
Algebraic Geometry
2018-12-19 v3 Number Theory
Abstract
Consider modular forms arising from a finite-area quotient of the upper-half plane by a Fuchsian group. By the classical results of Kodaira-Spencer, this ring of modular forms may be viewed as the log spin canonical ring of a stacky curve. In this paper, we tightly bound the degrees of minimal generators and relations of log spin canonical rings. As a consequence, we obtain a tight bound on the degrees of minimal generators and relations for rings of modular forms of arbitrary integral weight.
Cite
@article{arxiv.1507.02643,
title = {Spin canonical rings of log stacky curves},
author = {Aaron Landesman and Peter Ruhm and Robin Zhang},
journal= {arXiv preprint arXiv:1507.02643},
year = {2018}
}
Comments
36 pages. To appear in the Annales de l'Insitut Fourier