Isomorphism Types of Artinian Gorenstein Local Algebras of Multiplicity at Most 9

DOI10.1080/00927870903059513zbMath1201.13006OpenAlexW1995064616MaRDI QIDQ3162814

Gianfranco Casnati

Publication date: 22 October 2010

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

Full work available at URL: https://doi.org/10.1080/00927870903059513

zbMATH Keywords

Gorenstein algebraArtinian algebra

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

Related Items

A structure theorem for \(2\)-stretched Gorenstein algebras ⋮ Classifying local Artinian Gorenstein algebras ⋮ On the Gorenstein locus of the punctual Hilbert scheme of degree 11 ⋮ On the irreducibility and the singularities of the Gorenstein locus of the punctual Hilbert scheme of degree 10

Cites Work

• Structure theorems for certain Gorenstein ideals
• On some Gorenstein loci in \(\mathcal Hilb_6(\mathbb P^4_k)\)
• The moduli space of commutative algebras of finite rank
• On the Gorenstein locus of some punctual Hilbert schemes
• The algebraic and geometric classification of associative algebras of dimension five
• Generic finite schemes and Hochschild cocycles
• Invariants of pencils of binary cubics
• Nets of conics
• Stretched Gorenstein Rings
• Pencils of real binary cubics