Symbolic powers of cover ideals of graphs and Koszul property
DOI10.1142/S0218196721500405zbMath1476.13018arXiv2009.02312MaRDI QIDQ4958327
Joseph W. Skelton, Yan Gu, Huy Tái Hà
Publication date: 7 September 2021
Published in: International Journal of Algebra and Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.02312
monomial ideallinear resolutionvertex decomposablesymbolic powersshellableKoszul moduleslinear quotientscomponentwise linearcover idealssimplicial complexes.
Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Syzygies, resolutions, complexes and commutative rings (13D02) Other special types of modules and ideals in commutative rings (13C13) Combinatorial aspects of simplicial complexes (05E45) Combinatorial aspects of commutative algebra (05E40)
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Cites Work
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- Balanced vertex decomposable simplicial complexes and their \(h\)-vectors
- On the Koszul property of toric face rings
- Koszul determinantal rings and \(2 \times e\) matrices of linear forms
- Partial coloring, vertex decomposability and sequentially Cohen-Macaulay simplicial complexes
- The pinched Veronese is Koszul
- Algebraic properties of edge ideals via combinatorial topology
- The Golod property for powers of ideals and Koszul ideals
- Cohen-Macaulay graphs
- Koszul property of projections of the Veronese cubic surface
- Alexander duality for Stanley-Reisner rings and squarefree \(\mathbb{N}^n\)-graded modules
- Regularity and Koszul property of symbolic powers of monomial ideals
- Symbolic powers of certain cover ideals of graphs
- The Koszul property for spaces of quadrics of codimension three
- Ordinary and symbolic powers are Golod
- Whiskers and sequentially Cohen-Macaulay graphs
- Algèbre locale. Multiplicités. Cours au Collège de France, 1957-1958, rédigé par Pierre Gabriel. 2e ed.
- Koszul modules
- Cohen–Macaulay Graphs and Face Vectors of Flag Complexes
- Vertex decomposable graphs and obstructions to shellability
- Koszul Binomial Edge Ideals
- Componentwise linear ideals
- Diagonal subalgebras of bigraded algebras and embeddings of blow-ups of projective spaces
- Symbolic powers of cover ideal of very well-covered and bipartite graphs
- Monomial Ideals
- Symbolic powers of vertex cover ideals
- Koszul Resolutions
- Homological properties of powers of the maximal ideal of a local ring
