On minimal free resolution of the associated graded rings of certain monomial curves : New proofs in A⁴

Authors : Pınar METE, Esra Emine ZENGİN

Pages : 1019-1029

Doi:10.31801/cfsuasmas.501449

View : 15 | Download : 10

Publication Date : 2019-02-01

Article Type : Research Paper

Abstract :In this article, even if it is known for general case in sharifan-nahandi, 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 the Hilbert function of the tangent cone of these families in A⁴ in the simple form according to sharifan-nahandi.
Keywords : Minimal free resolution, monomial curve, Cohen Macaulayness, Hilbert function of a local ring, tangent cone