A geometrization of Stanley-Reisner theory

DOI10.1016/j.jpaa.2024.107743MaRDI QIDQ6597180

Alejandro Torres Sancho, Fernando Sancho de Salas

Publication date: 3 September 2024

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

zbMATH Keywords

simplicial complexesCohen-Macaulaynessschemesfield with one elementStanley-Reisner

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Geometry over the field with one element (14A23)

Cites Work

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• Number fields and function fields -- two parallel worlds
• A Survey of Stanley–Reisner Theory
• Categories and Sheaves
• Sheaves on finite posets and modules over normal semigroup rings

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