Open AccessThe canonical ring of a stacky curve
Author(s) -
John Voight,
David Zureick-Brown
Publication year - 2022
Publication title -
memoirs of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.034
H-Index - 70
eISSN - 1947-6221
pISSN - 0065-9266
DOI - 10.1090/memo/1362
Subject(s) - mathematics , noether's theorem , pure mathematics , ring (chemistry) , quotient , context (archaeology) , algebra over a field , lagrangian , paleontology , biology , chemistry , organic chemistry
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 Gröbner 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.