On the Stanley ring of a cubical complex
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Publication:1900970
DOI10.1007/BF02570709zbMath0834.57015MaRDI QIDQ1900970
Publication date: 10 April 1996
Published in: Discrete \& Computational Geometry (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/131405
\(f\)-vector\(h\)-vectorHilbert seriesCohen-Macaulayshellableedge-orientable shellable cubical complexesinitial ideal of the defining relations
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Cubical subdivisions and local \(h\)-vectors ⋮ The tropical momentum map: a classification of toric log symplectic manifolds ⋮ Cubulations, immersions, mappability and a problem of habegger ⋮ The toric \(h\)-vector of a cubical complex in terms of noncrossing partition statistics ⋮ The Yuri Manin ring and its \({\mathcal B}_n\)-analogue ⋮ Construction Techniques for Cubical Complexes, Odd Cubical 4-Polytopes, and Prescribed Dual Manifolds
Cites Work
- Determinantal rings
- Gröbner bases and multiplicity of determinantal and Pfaffian ideals
- Hilbert functions of graded algebras
- Gröbner bases of toric varieties
- Binomial ideals
- Plane Trees H-Vectors of Shellable Cubical Complexes
- Combinatorial Structure of the Faces of then-Cube
- Balanced Cohen-Macaulay Complexes
- Decompositions of Rational Convex Polytopes
- Cohen-Macaulay Rings, Invariant Theory, and the Generic Perfection of Determinantal Loci
- Shellable Decompositions of Cells and Spheres.
- Combinatorics and commutative algebra
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