Dedekind sums and parsing of Hilbert series

DOI10.1216/jca.2021.13.281zbMath1475.14013OpenAlexW3176330165MaRDI QIDQ2236799

Shengtian Zhou

Publication date: 26 October 2021

Published in: Journal of Commutative Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jca.2021.13.281

zbMATH Keywords

orbifoldDedekind sumHilbert series

Mathematics Subject Classification ID

Riemann-Roch theorems (14C40) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Divisors, linear systems, invertible sheaves (14C20)

Uses Software

• Magma
• Graded Ring Database

Cites Work

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• On graded rings. I
• The Riemann-Roch theorem for complex V-manifolds
• The Magma algebra system. I: The user language
• Riemann-Roch theorems for Deligne-Mumford stacks
• Ice cream and orbifold Riemann-Roch
• Riemann-Roch for Deligne-Mumford stacks
• Orbifold Riemann--Roch for threefolds with an application to Calabi--Yau geometry

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