Counterexamples for Cohen–Macaulayness of lattice ideals

DOI10.1080/00927872.2018.1521420zbMath1430.52014arXiv1804.03647OpenAlexW2964005531MaRDI QIDQ5379452

Aleksandra Sobieska, Laura Felicia Matusevich

Publication date: 12 June 2019

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.03647

zbMATH Keywords

Cohen-Macaulay ringstoric idealsGale diagramlattice ideals

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Combinatorial aspects of commutative algebra (05E40) Arithmetic rings and other special commutative rings (13F99)

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Cites Work

• Scarf lattice ideals
• Syzygies of codimension 2 lattice ideals
• Mixed matrices and binomial ideals
• Koszul cycles and Eliahou-Kervaire type resolutions
• Binomial ideals
• Affine Semigroups and Cohen-Macaulay Rings Generated by Monomials
• A free resolution of a binomial ideal
• Generic lattice ideals