Gorenstein rings through face rings of manifolds
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Publication:3393911
DOI10.1112/S0010437X09004138zbMath1217.13009arXiv0806.1017MaRDI QIDQ3393911
Publication date: 27 August 2009
Published in: Compositio Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0806.1017
local cohomology moduleshomology sphereshomology manifoldsGorenstein ringssocleface ringsalgebraic \(g\)-conjecture
Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55)
Related Items
Stanley-Reisner rings of simplicial complexes with a free action by an abelian group, The weak Lefschetz property for monomial ideals of small type, Volume polynomials and duality algebras of multi-fans, Applications of Klee's Dehn-Sommerville relations, A duality in Buchsbaum rings and triangulated manifolds, Topological model for \(h^{\prime\prime}\) vectors of simplicial manifolds, On the number of simplices required to triangulate a Lie group, Space of isospectral periodic tridiagonal matrices, Face numbers: the upper bound side of the story, \(g\)-vectors of manifolds with boundary, Buchsbaum\(^*\) complexes, How many simplices are needed to triangulate a Grassmannian?, On \(r\)-stacked triangulated manifolds, Dimensions of multi-fan duality algebras, Level algebras through Buchsbaum* manifolds, Socles of Buchsbaum modules, complexes and posets, Manifolds of isospectral arrow matrices
Cites Work
- Rigidity and the lower bound theorem. I
- The canonical module of a Stanley-Reisner ring
- Algebraic shifting of cyclic polytopes and stacked polytopes
- Face enumeration-from spheres to manifolds
- An extended Euler-Poincaré theorem
- The number of faces of a simplicial convex polytope
- On the number of faces of simplicial complexes and the purity of Frobenius
- A proof of the sufficiency of McMullen's conditions for f-vectors of simplicial convex polytopes
- Upper bound theorems for homology manifolds
- A Combinatorial Analogue of Poincaré's Duality Theorem
