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Minimal free resolution of a graded ideal with linear quotients

2016/09/30 by Liu, A-Ming, Wu, Tongsuo
#Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1610.00055

Abstract

Let I be a graded ideal of K[x1,…,xn] generated by homogeneous polynomials of a same degree d, and assume that I has linear quotients. In this note, we use Horseshoe Lemma to give a relatively direct inductive construction of a minimal free resolution of I, which is called a d-linear resolution.

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