The Family GTof Graded Artinian Quotients ofk[x,y] of Given Hilbert Function

DOI10.1081/AGB-120022447zbMath1048.14003OpenAlexW1998801221MaRDI QIDQ4418335

Joachim Yaméogo, Anthony A. Iarrobino

Publication date: 7 August 2003

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/agb-120022447

zbMATH Keywords

parametrizationhomologyHankel matrixHilbert functionArtinian algebradeterminantal varietyGrassmannian varietiesArtinian quotientshomology class of intersection

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Parametrization (Chow and Hilbert schemes) (14C05)

Related Items (12)

Canonical Hilbert-Burch matrices for ideals of \(k[x,y\)] ⋮ Unnamed Item ⋮ On some Gorenstein loci in \(\mathcal Hilb_6(\mathbb P^4_k)\) ⋮ Complete intersection Jordan types in height two ⋮ BPS/CFT correspondence. III: Gauge origami partition function and \(qq\)-characters ⋮ Number of generators of ideals in Jordan cells of the family of graded Artinian algebras of height two ⋮ Limits of graded Gorenstein algebras of Hilbert function \((1,3^k,1)\) ⋮ Ancestor ideals of vector spaces of forms, and level algebras. ⋮ Pairs of commuting nilpotent matrices, and Hilbert function ⋮ Betti strata of height two ideals ⋮ A continuous family of partition statistics equidistributed with length ⋮ Hilbert function of local Artinian level rings in codimension two

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