(Bi-)Cohen–Macaulay Simplicial Complexes and Their Associated Coherent Sheaves

DOI10.1081/AGB-200066131zbMath1097.13030arXivmath/0209061MaRDI QIDQ5704505

Jon Eivind Vatne, Gunnar Fløystad

Publication date: 15 November 2005

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

Full work available at URL: https://arxiv.org/abs/math/0209061

zbMATH Keywords

conesimplicial complexCohen-MacaulayBGG correspondence

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55)

Related Items

Bi-sequentially Cohen–Macaulay bipartite graphs, Cellular resolutions of Cohen-Macaulay monomial ideals, A generalization of Eagon–Reiner’s theorem and a characterization of bi-CM_t bipartite and chordal graphs, Enriched homology and cohomology modules of simplicial complexes, Profunctors between posets and Alexander duality, Polynomial Interpolation in Higher Dimension: From Simplicial Complexes to GC Sets, Mini-workshop: Interpolation, approximation, and algebra. Abstracts from the mini-workshop held February 13--19, 2022, Bi-Cohen-Macaulay graphs, The type defect of a simplicial complex, Letterplace and co-letterplace ideals of posets

Uses Software

• Macaulay2

Cites Work

• Rings with monomial relations having linear resolutions
• Algebraic bundles over \(\mathbb P^n\) and problems of linear algebra
• Cohen-Macaulay quotients of polynomial rings
• Resolutions of Stanley-Reisner rings and Alexander duality
• Combinatorics and commutative algebra.
• Sheaf cohomology and free resolutions over exterior algebras
• Resolutions of monomial ideals and cohomology over exterior algebras