Powers of Componentwise Linear Ideals

DOI10.1007/978-3-642-19492-4_4zbMath1317.13009arXiv0904.4233OpenAlexW3098972051MaRDI QIDQ2914666

Jürgen Herzog, Hidefumi Ohsugi, Takayuki Hibi

Publication date: 20 September 2012

Published in: Combinatorial Aspects of Commutative Algebra and Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.4233

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items

Powers of componentwise linear ideals: the Herzog-Hibi-Ohsugi conjecture and related problems, Rooted order on minimal generators of powers of some cover ideals, Toric rings arising from vertex cover ideals, Componentwise linearity of powers of cover ideals, Powers of vertex cover ideals of simplicial trees, Powers of ideals associated to \((C_{4},2K_{2})\)-free graphs, Powers of sums and their homological invariants, Powers of the vertex cover ideals, On the powers of vertex cover ideals, Regularity and Koszul property of symbolic powers of monomial ideals, Symbolic powers of vertex cover ideals, ON THE ASYMPTOTIC BEHAVIOR OF THE LINEARITY DEFECT

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Approximation complexes of blowing-up rings. II
• Resolutions of determinantal ideals: The submaximal minors
• Approximation complexes of blowing-up rings
• Homological properties of bigraded algebras
• Castelnuovo-Mumford regularity of products of ideals
• The theory of d-sequences and powers of ideals
• Rigid resolutions and big Betti numbers
• Alexander duality for Stanley-Reisner rings and squarefree \(\mathbb{N}^n\)-graded modules
• Cohen-Macaulay polymatroidal ideals
• Cohen--Macaulay chordal graphs
• Linearity defects of modules over commutative rings
• Sequentially Cohen-Macaulay edge ideals
• Asymptotic Depth and Connectedness in Projective Schemes
• Componentwise linear ideals
• Monomial ideals whose powers have a linear resolution
• Sagbi bases with applications to blow-up algebras.