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On parameter spaces for artin level algebras

2002/04/01 by Jaydeep Chipalkatti, J. V. Chipalkatti, Chipalkatti, J. V. +3 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #13A02 #14M15 #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Analysis of PDEs (math.AP) #Commutative Algebra (math.AC) #FOS: Mathematics #Nonlinear Waves and Solitons #Polynomial and algebraic computation #math.AC #math.AG #math.AP #msc:13A02 #msc:14M15

paper · pdf · doi:10.48550/arxiv.math/0204017

Revised version which supplies a missing attribution. To appear in Mich. Math. J

openalex publication_date 2002/04/01 · arxiv created 2003/01/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The set of all artin level quotients of a polynomial algebra in n variables having specified socle degree and type admits a parameter space. It is in fact a quasiprojective variety, naturally embedded in a Grassmannian. We give a geometric description of this variety in the case of two variables. Then we give some sufficient conditions for the parameter variety to be projectively normal in the Plucker embedding.

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