Regularity of Koszul modules

2024/09/18 by Puthenpurakal, Tony J.
#13D45 #Commutative Algebra (math.AC) #FOS: Mathematics #Primary 13D02 #Secondary 13C40

paper · doi:10.48550/arxiv.2409.11840

Abstract

Let K be a field and let S = K[X₁, …, X_n]. Let I be a graded ideal in S and let M be a finitely generated graded S-module. We give upper bounds on the regularity of Koszul homology modules H_i(I, M) for several classes of I and M.

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