Isomorphism classes of certain Artinian Gorenstein algebras

2008/02/06 by Juan Elías, Elias, Juan, Giuseppe Valla +1 · 1 citation
Mathematics · #13H10 #13H15 #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.0802.0841

openalex publication_date 2008/02/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we classify, up to analytic isomorphism, the family of almost stretched Artinian complete intersection A=R/I with a given Hilbert function, in the case R is a power series ring with an arbitrary number of variables.

Cited by

• Irreducibility of the Gorenstein locus of the punctual Hilbert scheme of\n degree 10

Related

• Rings which are almost Gorenstein
• CI-sequences and almost complete intersections
• Limits of graded Gorenstein algebras of Hilbert function (1,3^k,1)
• A structure theorem for 2-stretched Gorenstein algebras
• Artinian Gorenstein algebras of embedding dimension four: Components of PGor(H) for H=(1,4,7,..., 1)