Poincaré Series and Deformations of Gorenstein Local Algebras

DOI10.1080/00927872.2011.636643zbMath1274.13032arXiv1005.1677OpenAlexW3101178403MaRDI QIDQ2839092

Gianfranco Casnati, Juan Elias, Maria Evelina Rossi, Roberto Notari

Publication date: 4 July 2013

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

Full work available at URL: https://arxiv.org/abs/1005.1677

zbMATH Keywords

Poincaré seriesArtinian Gorenstein algebrasLocal ringsSmoothable

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)

Related Items

On the rationality of Poincaré series of Gorenstein algebras via Macaulay's correspondence, Artinian level algebras of socle degree 4, Nets of conics and associated Artinian algebras of length 7. Translation and update of the 1977 version by J. Emsalem and A. Iarrobino, On the Gorenstein locus of the punctual Hilbert scheme of degree 11, Associated graded rings and connected sums, Secant varieties to high degree Veronese reembeddings, catalecticant matrices and smoothable Gorenstein schemes, Analytic isomorphisms of compressed local algebras, Local finite-dimensional Gorenstein k-algebras having Hilbert function (1,5,5,1) are smoothable

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