Remarks on the Hilbert depth of powers of the maximal graded ideal

2023/11/18 by Silviu Bălănescu, Balanescu, Silviu, Mircea Cimpoeaş +1
Computer Science · Engineering · Mathematics · #05A18 #06A07 #13C15 #13F20 #13P10 #Advanced Numerical Analysis Techniques #Combinatorics (math.CO) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.2311.11079

openalex publication_date 2023/11/18 · openalex created_date 2023/11/22 · openalex updated_date 2026/07/28

Abstract

Let \mathbf m=(x₁,…,x_n) be the maximal graded ideal of S:=K[x₁,…,x_n]. We present a new method for computing the Hilbert depth of powers of \mathbf m.

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