The canonical ring of a stacky curve | Zendy

John Voight | Zendy; David Zureick-Brown | Zendy

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The 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.

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