Cohen-Macaulayness and computation of Newton graded toric rings

DOI10.1016/j.jpaa.2008.11.035zbMath1168.14037arXiv0706.3545OpenAlexW1979555754MaRDI QIDQ1017670

Uli Walther, Mathias Schulze

Publication date: 12 May 2009

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.3545

zbMATH Keywords

Cohen-Macaulayaffine semigroup ringsface ringsEuler-Koszul homologyNewton graded rings

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Filtered associative rings; filtrational and graded techniques (16W70)

Uses Software

• Macaulay2
• SINGULAR

Cites Work

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• Local cohomology modules of \(A\)-hypergeometric system of Cohen-Macaulay type
• Irregularity of hypergeometric systems via slopes along coordinate subspaces
• Polyedres de Newton et nombres de Milnor
• Higher solutions of hypergeometric systems and Dwork cohomology
• Hypergeometric functions and rings generated by monomials
• Hypergeometric functions and toric varieties
• A-Hypergeometric ranks for toric threefolds
• Affine Semigroups and Cohen-Macaulay Rings Generated by Monomials
• Corrigendum to "Affine Semigroups and Cohen-Macaulay Rings Generated by Monomials"
• Homological methods for hypergeometric families
• Rings of Invariants of Tori, Cohen-Macaulay Rings Generated by Monomials, and Polytopes