Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2019 / Cilt: 68 - Sayı: 1
On minimal free resolution of the associated graded rings of certain monomial curves : New proofs in A⁴
- Pages
- 1019–1029
- DOI
- —
Abstract
In this article, even if it is known for general case in <cite>sharifan-nahandi</cite>, 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 <cite>sharifan-nahandi</cite>.