On the rationality of Poincaré series of Gorenstein algebras via Macaulay's correspondence

DOI10.1216/RMJ-2016-46-2-413zbMath1432.13013arXiv1307.1676MaRDI QIDQ309461

Roberto Notari, Gianfranco Casnati, Joachim Jelisiejew

Publication date: 7 September 2016

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.1676

zbMATH Keywords

artinian Gorenstein local algebrarational Poincaré series

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A structure theorem for \(2\)-stretched Gorenstein algebras
• Homology of Noetherian rings and local rings
• The Poincaré series of a local Gorenstein ring of multiplicity up to 10 is rational
• The Poincaré series of a codimension four Gorenstein ring is rational
• Poincaré series of modules over local rings of small embedding codepth or small linking number
• Factoring out the socle of a Gorenstein ring
• Über homologische Invarianten lokaler Ringe
• Poincaré Series and Deformations of Gorenstein Local Algebras
• Isomorphism classes of short Gorenstein local rings via Macaulay’s inverse system
• A family of local rings with rational Poincaré series
• The Poincaré Series Of Stretched Cohen-Macaulay Rings
• Géométrie des points épais
• Associated graded algebra of a Gorenstein Artin algebra
• Combinatorics and commutative algebra

This page was built for publication: On the rationality of Poincaré series of Gorenstein algebras via Macaulay's correspondence