Hilbert functions over toric rings
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Publication:841539
DOI10.1307/mmj/1220879413zbMath1183.13031OpenAlexW1983449574MaRDI QIDQ841539
Noam Horwitz, Irena Peeva, Vesselin N. Gasharov
Publication date: 17 September 2009
Published in: Michigan Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1307/mmj/1220879413
Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55)
Related Items (11)
Hilbert schemes and Betti numbers over Clements–Lindström rings ⋮ Open problems on syzygies and Hilbert functions ⋮ Poset embeddings of Hilbert functions ⋮ Distractions of Shakin rings ⋮ Hilbert schemes and maximal Betti numbers over Veronese rings ⋮ Macaulay's theorem for some projective monomial curves ⋮ Poset embeddings of Hilbert functions for two hypersurface rings ⋮ Toward free resolutions over scrolls ⋮ Toward a theory of monomial preorders ⋮ Rees algebras of square-free monomial ideals ⋮ FFRT properties of hypersurfaces and their F-signatures
Uses Software
Cites Work
- Hilbert schemes and maximal Betti numbers over Veronese rings
- Deformation classes of graded modules and maximal Betti numbers
- Squarefree lexsegment ideals
- Unimodular Hermitian and skew-Hermitian forms
- Semigroup rings and simplicial complexes
- Resolutions of \textbf{a}-stable ideals.
- Rationality for generic toric rings
- Hilbert functions and lex ideals
- Flips and the Hilbert scheme over an exterior algebra
- Ideals containing the squares of the variables
- Connectedness of Hilbert scheme
- A toric ring with irrational Poincaré-Betti series
- Connectedness of Hilbert schemes
- Resolutions of monomial ideals and cohomology over exterior algebras
- Upper bounds for the betti numbers of a given hilbert function
- Maximum betti numbers of homogeneous ideals with a given hilbert function
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