Uniform bounds on multigraded regularity

DOI10.1090/S1056-3911-04-00385-6zbMath1070.14006arXivmath/0305215MaRDI QIDQ4659674

Diane MacLagan, Gregory G. Smith

Publication date: 21 March 2005

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0305215

zbMATH Keywords

Stanley decompositionGotzmann numbermultigraded Castelnuovo-Mumford regularitymultigraded Hilbert polynomialStanley filtration

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Parametrization (Chow and Hilbert schemes) (14C05) Local cohomology and commutative rings (13D45) Local cohomology and algebraic geometry (14B15)

Related Items (27)

Multigraded Castelnuovo-Mumford regularity via Klyachko filtrations ⋮ Multigraded Hilbert functions and toric complete intersection codes ⋮ Minimal free resolutions and asymptotic behavior of multigraded regularity ⋮ Prime filtrations of monomial ideals and polarizations ⋮ Finite filtrations of modules and shellable multicomplexes ⋮ Torsion functors with monomial support ⋮ Multigraded regularity, \(a^{*}\)-invariant and the minimal free resolution ⋮ Rational points of lattice ideals on a toric variety and toric codes ⋮ Calculating the minimum distance of a toric code via algebraic algorithms ⋮ Syzygies of curves in products of projective spaces ⋮ Lattice Ideals, Semigroups and Toric Codes ⋮ Implicitization of tensor product surfaces via virtual projective resolutions ⋮ The ubiquity of smooth Hilbert schemes ⋮ Combinatorial decompositions for monomial ideals ⋮ Block Stanley decompositions. II: Greedy algorithms, applications, and open problems ⋮ Castelnuovo Mumford regularity with respect to multigraded ideals ⋮ Stanley conjecture in small embedding dimension ⋮ Block Stanley decompositions. I: Elementary and gnomon decompositions ⋮ Smooth and irreducible multigraded Hilbert schemes ⋮ Toric initial ideals of \(\Delta\)-normal configurations: Cohen-Macaulayness and degree bounds ⋮ Implicitization of rational surfaces using toric varieties ⋮ On the ext-computability of Serre quotient categories ⋮ Supporting degrees of multi-graded local cohomology modules ⋮ Standard Bigraded Hilbert Functions ⋮ Degree bounds for Gröbner bases in algebras of solvable type ⋮ Prime filtrations and Stanley decompositions of squarefree modules and Alexander duality ⋮ Regularity of smooth curves in biprojective spaces

Uses Software

• Macaulay2

Cites Work

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