Generic and cogeneric monomial ideals
From MaRDI portal
Publication:1569837
DOI10.1006/jsco.1999.0290zbMath0955.13008arXivmath/9812126OpenAlexW2065153963MaRDI QIDQ1569837
Ezra Miller, Bernd Sturmfels, Kohji Yanagawa
Publication date: 20 September 2000
Published in: Journal of Symbolic Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9812126
monomial idealAlexander dualityCohen-Macaulay typeScarf complexlocal \(h\)-vectorscogeneric monomial idealsgenericity propertiesreverse lexicographic initial ideals
Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Syzygies, resolutions, complexes and commutative rings (13D02) Ideals and multiplicative ideal theory in commutative rings (13A15)
Related Items
The structure of DGA resolutions of monomial ideals, Integral Closures of Cohen-Macaulay Monomial Ideals, Trees, parking functions, syzygies, and deformations of monomial ideals, Stanley depth and the lcm-lattice, A non-Golod ring with a trivial product on its Koszul homology, On a representation of the fundamental class of an ideal due to Lejeune-Jalabert, Barile-Macchia resolutions, Face posets of tropical polyhedra and monomial ideals, Betti tables of monomial ideals fixed by permutations of the variables, Monomial ideals induced by permutations avoiding patterns, Computing residue currents of monomial ideals using comparison formulas, Cohen–Macaulayness of Generically Complete Intersection Monomial Ideals, Squarefree monomial ideals with maximal depth, The minimal free resolution of a class of square-free monomial ideals., Alexander duality and Stanley depth of multigraded modules, Maximal depth property of finitely generated modules, The Cohen-Macaulayness of the bounded complex of an affine oriented matroid, Betti numbers of multigraded modules of generic type, ON THE DENOMINATOR OF THE POINCARÉ SERIES FOR MONOMIAL QUOTIENT RINGS, Betti posets and the Stanley depth, LCM Lattices and Stanley Depth: A First Computational Approach, The slice algorithm for irreducible decomposition of monomial ideals, Maximal depth property of bigraded modules, Minimal free resolutions of some configurations of fat lines, Prime Filtrations and Primary Decompositions of Modules, Residue currents constructed from resolutions of monomial ideals, On the Behavior of Minimal Free Resolutions of Trivariate Generic Monomial Ideals, Matrices defining Gorenstein lattice ideals, Pruned cellular free resolutions of monomial ideals, The Alexander duality functors and local duality with monomial support, On a conjecture of R. P. Stanley. I: Monomial ideals, On a conjecture of R. P. Stanley. II: Quotients modulo monomial ideals
Cites Work
- Syzygies of codimension 2 lattice ideals
- Resolutions of Stanley-Reisner rings and Alexander duality
- The associated primes of initial ideals of lattice ideals
- Gröbner bases of toric varieties
- Combinatorics and commutative algebra.
- Alexander duality for Stanley-Reisner rings and squarefree \(\mathbb{N}^n\)-graded modules
- Complete Intersections and Connectedness
- Subdivisions and Local h-Vectors
- Cellular resolutions of monomial modules
- $F_{\Delta }$ type free resolutions of monomial ideals
- Lectures on Polytopes
- Generic lattice ideals
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item