Comparing Hilbert depth of I with Hilbert depth of S/I. III

2024/07/05 by Bordianu, Andreea I., Cimpoeas, Mircea
#05A18 #06A07 #13C15 #13F20 #13P10 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.2407.04759

Abstract

Let I be a squarefree monomial ideal of S=K[x₁,…,x_n]. We prove that if hdepth(S/I)≤ 8 or n≤ 10 then hdepth(I)≥ hdepth(S/I)-1.

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