Regularity of powers of Stanley-Reisner ideals of one-dimensional simplicial complexes

2021/09/14 by Minh, Nguyen Cong, Vu, Thanh · 1 citation
#Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.2109.06396

Abstract

Let Δ be a one-dimensional simplicial complex. Let I_Δ be the Stanley-Reisner ideal of Δ. We prove that for all s ≥ 1 and all intermediate ideals J generated by I_Δ^s and some minimal generators of I_Δ^(s), we have \rm reg J = \rm reg I_Δ^s = \rm reg I_Δ^(s).

Cited by

• Complementary edge ideals

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