English

Minimal free resolution of a graded ideal with linear quotients

Commutative Algebra 2016-10-04 v1

Abstract

Let II be a graded ideal of K[x1,,xn]K[x_1,\ldots,x_n] generated by homogeneous polynomials of a same degree dd, and assume that II has linear quotients. In this note, we use Horseshoe Lemma to give a relatively direct inductive construction of a minimal free resolution of II, which is called a dd-linear resolution.

Keywords

Cite

@article{arxiv.1610.00055,
  title  = {Minimal free resolution of a graded ideal with linear quotients},
  author = {A-Ming Liu and Tongsuo Wu},
  journal= {arXiv preprint arXiv:1610.00055},
  year   = {2016}
}