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Decompositions of ideals of minors meeting a submatrix

2014/06/25 by Kent M. Neuerburg, Neuerburg, Kent M., Zach Teitler +1
Mathematics · #13C40 #13F50 #Advanced Topics in Algebra #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.1406.6426

openalex publication_date 2014/06/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We compute the primary decomposition of certain ideals generated by subsets of minors in a generic matrix or in a generic symmetric matrix, or subsets of Pfaffians in a generic skew-symmetric matrix. Specifically, the ideals we consider are generated by minors that have at least some given number of rows and columns in certain submatrices.

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