English

Minimal free resolution of the associated graded ring of certain monomial curves

Commutative Algebra 2017-03-10 v1

Abstract

In this article, we give the explicit minimal free resolution of the associated graded ring of certain affine monomial curves in affine 4-space based on the standard basis theory. As a result, we give the minimal graded free resolution and compute the Hilbert function of the tangent cone of these families.

Keywords

Cite

@article{arxiv.1703.03359,
  title  = {Minimal free resolution of the associated graded ring of certain monomial curves},
  author = {Pinar Mete and Esra Emine Zengin},
  journal= {arXiv preprint arXiv:1703.03359},
  year   = {2017}
}