On Hilbertian ideals

DOI10.1016/0024-3795(89)90398-4zbMath0719.13005OpenAlexW1997295720MaRDI QIDQ2639917

Shreeram S. Abhyankar, Devadatta M. Kulkarni

Publication date: 1989

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(89)90398-4

zbMATH Keywords

Hilbert functionHilbert polynomialhilbertian determinant idealsindex of a monomialmatrix of indeterminates

Mathematics Subject Classification ID

Linkage, complete intersections and determinantal ideals (13C40) Determinantal varieties (14M12) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)

Related Items

Counting of paths and coefficients of the Hilbert polynomial of a determinantal ideal ⋮ Computation of the a-invariant of ladder determinantal rings ⋮ Resolution of singularities and modular Galois theory ⋮ Hilbert polynomial of a certain ladder-determinantal ideal ⋮ Combinatorial meaning of the coefficients of a Hilbert polynomial ⋮ Gröbner bases and multiplicity of determinantal and Pfaffian ideals ⋮ Determinantal loci and the flag variety ⋮ A Note on a Path Counting Formula ⋮ \(M\)-sequences, graph ideals, and ladder ideals of linear type ⋮ The \(h\)-vector of a ladder determinantal ring cogenerated by \(2\times 2\) minors is log-concave

Cites Work

• Young diagrams and determinantal varieties
• A characteristic free approach to invariant theory
• Cohen-Macaulay Rings, Invariant Theory, and the Generic Perfection of Determinantal Loci
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