Local finite-dimensional Gorenstein k-algebras having Hilbert function (1,5,5,1) are smoothable

DOI10.1142/S021949881450056XzbMath1317.13040arXiv1212.0522MaRDI QIDQ2878791

Joachim Jelisiejew

Publication date: 5 September 2014

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.0522

zbMATH Keywords

Hilbert schemeGorenstein algebraszero-dimensional schemessmoothability

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Parametrization (Chow and Hilbert schemes) (14C05) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Deformations and infinitesimal methods in commutative ring theory (13D10)

Related Items

Smoothable Gorenstein Points Via Marked Schemes and Double-generic Initial Ideals, On the Geometry of Border Rank Decompositions for Matrix Multiplication and Other Tensors with Symmetry, Secant varieties to high degree Veronese reembeddings, catalecticant matrices and smoothable Gorenstein schemes

Cites Work

• On the irreducibility and the singularities of the Gorenstein locus of the punctual Hilbert scheme of degree 10
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• Hilbert schemes of 8 points
• The Magma algebra system. I: The user language
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• Poincaré Series and Deformations of Gorenstein Local Algebras
• Deformation Theory
• Secant varieties to high degree Veronese reembeddings, catalecticant matrices and smoothable Gorenstein schemes