Minimal Cohen--Macaulay Simplicial Complexes
From MaRDI portal
Publication:5130569
DOI10.1137/19M1275164zbMath1450.05100arXiv1905.05043MaRDI QIDQ5130569
Hailong Dao, Justin Lyle, Joseph Doolittle
Publication date: 28 October 2020
Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.05043
(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Combinatorial aspects of simplicial complexes (05E45) Combinatorial aspects of commutative algebra (05E40)
Related Items
Cites Work
- Relative Stanley-Reisner theory and upper bound theorems for Minkowski sums
- \(H\)-vectors of simplicial complexes with Serre's conditions
- Cohen-Macaulay quotients of polynomial rings
- Nonconstructible simplicial balls and a way of testing constructibility
- Shelling polyhedral 3-balls and 4-polytopes
- Combinatorics and commutative algebra.
- Constructible complexes and recursive division of posets
- A balanced non-partitionable Cohen-Macaulay complex
- Resolving Stanley's conjecture on \(k\)-fold acyclic complexes
- A non-partitionable Cohen-Macaulay simplicial complex
- An unshellable triangulation of a tetrahedron
- Which Spheres are Shellable?
- Small Examples of Nonconstructible Simplicial Balls and Spheres
- Shellable Nonpure Complexes and Posets. I
- Unnamed Item
- Unnamed Item
- Unnamed Item
