The variety defined by the matrix of diagonals is F-pure

2019/02/07 by Zhibek Kadyrsizova, Kadyrsizova, Zhibek
Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Commutative Algebra (math.AC) #FOS: Mathematics #Rings, Modules, and Algebras #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.1902.02563

openalex publication_date 2019/02/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that the variety defined by the determinant of the matrix of diagonals is F-pure for matrices of all sizes and in all positive prime characteristics. Moreover, we find a system of parameters for it.

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