Minors of symmetric and exterior powers

2001/11/15 by Winfried Bruns, Bruns, Winfried, Wolmer V. Vasconcelos +1 · 2 citations
Computer Science · Mathematics · #13B22 #13C40 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Holomorphic and Operator Theory #Polynomial and algebraic computation #math.AC #math.AG #msc:13B22 #msc:13C40

paper · pdf · doi:10.48550/arxiv.math/0111174

7 pages

arxiv created 2001/11/15 · openalex publication_date 2001/11/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We describe some of the determinantal ideals attached to symmetric, exterior and tensor powers of a matrix. The methods employed use elements of Zariski's theory of complete ideals and of representation theory.

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• Joint reductions and mixed Buchsbaum-Rim multiplicities of modules and a joint-reduction-number-zero theorem
• On characterising analytically unramified local rings

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