Associated graded rings and connected sums

DOI10.21136/CMJ.2019.0259-18MaRDI QIDQ3297018

Jai Laxmi, Ela Celikbas, H. Ananthnarayan, Zheng Yang

Publication date: 2 July 2020

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.01413

zbMATH Keywords

Poincaré seriesconnected sumassociated graded ringfibre productshort Gorenstein ringstretched Gorenstein ring

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (2)

Symmetric decomposition of the associated graded algebra of an Artinian Gorenstein algebra ⋮ Connected sums of graded Artinian Gorenstein algebras and Lefschetz properties

Cites Work

• Unnamed Item
• Unnamed Item
• Projective bundle ideals and Poincaré duality algebras
• Apolarity and direct sum decomposability of polynomials
• Poincaré series of modules over local rings of small embedding codepth or small linking number
• Factoring out the socle of a Gorenstein ring
• Decomposing Gorenstein rings as connected sums
• Poincaré Series and Deformations of Gorenstein Local Algebras
• Isomorphism classes of short Gorenstein local rings via Macaulay’s inverse system
• Connected sums of Gorenstein local rings
• Stretched Gorenstein Rings

This page was built for publication: Associated graded rings and connected sums