On the Hilbert function of a graded Cohen-Macaulay domain
From MaRDI portal
Publication:1176712
DOI10.1016/0022-4049(91)90034-YzbMath0735.13010MaRDI QIDQ1176712
Publication date: 25 June 1992
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Graded rings (13A02) Cohen-Macaulay modules (13C14)
Related Items
Uniformly Cohen-Macaulay simplicial complexes and almost Gorenstein* simplicial complexes, Universal inequalities in Ehrhart theory, Almost Gorenstein homogeneous rings and their \(h\)-vectors, Tangent cones at curve and surface singularities, The \(\delta\)-vectors of reflexive polytopes and of the dual polytopes, Reflexive polytopes arising from partially ordered sets and perfect graphs, On zero-dimensional subschemes of a complete intersections, Inequalities and Ehrhart $\delta $-vectors, On algorithmically checking whether a Hilbert series comes from a complete intersection, Castelnuovo's lemma and \(h\)-vectors of Cohen-Macaulay homogeneous domains, Graded Cohen-Macaulay domains and lattice polytopes with short \(h\)-vector, Singularities of toric varieties associated with finite distributive lattices, Ehrhart polynomials of rank two matroids, Non-level semi-standard graded Cohen-Macaulay domain with \(h\)-vector \((h_{0},h_{1},h_{2})\), Unimodality questions for integrally closed lattice polytopes, Decompositions of Ehrhart \(h^*\)-polynomials for rational polytopes, Ehrhart polynomials of convex polytopes with small volumes, Boundary \({\boldsymbol{H^\ast}}\) -Polynomials of Rational Polytopes, Unimodality of \(\delta \)-vectors of lattice polytopes and two related properties, Hermite normal forms and \(\delta \)-vectors, Level algebras and \(\boldsymbol{s}\)-lecture hall polytopes, Comparing generalized Gorenstein properties in semi-standard graded rings, On the Gorensteinness of broken circuit complexes and Orlik-Terao ideals, Integer decomposition property for Cayley sums of order and stable set polytopes, Rational polytopes with Ehrhart coefficients of arbitrary period, Linear and nonlinear inequalities concerning a certain combinatorial sequence which arises from counting the number of chains of a finite distributive lattice, Lattice polytopes having \(h^*\)-polynomials with given degree and linear coefficient, Best possible lower bounds on the coefficients of Ehrhart polynomials, Stapledon decompositions and inequalities for coefficients of chromatic polynomials, Cayley-Bacharach Schemes and Their Canonical Modules, Flat \({\delta}\)-vectors and their Ehrhart polynomials, Periods of Ehrhart coefficients of rational polytopes, Variations of the mixed Hodge structure of affine hypersurfaces in algebraic tori, Shifted symmetric \(\delta \)-vectors of convex polytopes, Linear extensions of ranked posets, enumerated by descents. A problem of Stanley from the 1981 Banff conference on ordered sets, Lattice polytopes from Schur and symmetric Grothendieck polynomials, Star-Shaped Complexes and Ehrhart Polynomials, Graded algebras with cyclotomic Hilbert series, Roots of Ehrhart polynomials of Gorenstein Fano polytopes, Enumeration of lattice polytopes by their volume, Ehrhart theory for Lawrence polytopes and orbifold cohomology of hypertoric varieties, Motivic Integration on Toric Stacks, On the spectrum of certain subschemes of \(\mathbb{P}^N\), The characterisation problem of Ehrhart polynomials of lattice polytopes
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Divisors on general curves and cuspidal rational curves
- Über Hilbert-Funktionen graduierter Gorenstein-Algebren
- Flawless O-sequences and Hilbert functions of Cohen-Macaulay integral domains
- Some results on Ehrhart polynomials of convex polytopes
- Linear Diophantine equations and local cohomology
- On Hilbert functions of reduced and of integral algebras
- Hilbert functions of graded algebras
- Der kanonische Modul eines Cohen-Macaulay-Rings. (The canonical moduls of a Cohen-Macaulay-ring)
- The Hilbert Function of a Reduced K -Algebra
- Rings of Invariants of Tori, Cohen-Macaulay Rings Generated by Monomials, and Polytopes