Edge ideals with almost maximal finite index and their powers
From MaRDI portal
Publication:2052835
DOI10.1007/s10801-021-01032-yzbMath1482.13022arXiv2001.03938OpenAlexW3136162914MaRDI QIDQ2052835
Publication date: 29 November 2021
Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2001.03938
Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Syzygies, resolutions, complexes and commutative rings (13D02) Combinatorial aspects of commutative algebra (05E40)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Bounds on the regularity and projective dimension of ideals associated to graphs
- The Betti polynomials of powers of an ideal
- Koszul homology and syzygies of Veronese subalgebras
- On the projective normality of complete linear series on an algebraic curve
- Powers of ideals associated to \((C_{4},2K_{2})\)-free graphs
- Dirac's theorem on chordal graphs and Alexander duality
- \(C_{4}\)-free edge ideals
- The regularity of powers of edge ideals
- Characteristic-independence of Betti numbers of graph ideals
- The depth of powers of an ideal
- Restricting linear syzygies: algebra and geometry
- Regularity of the powers of an ideal
- Powers of edge ideals with linear resolutions
- Monomial ideals whose powers have a linear resolution
- Powers of Ideals: Betti Numbers, Cohomology and Regularity
- Monomial Ideals
- First Nonlinear Syzygies of Ideals Associated to Graphs
- On the index of powers of edge ideals