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

Published 9 Mar 2017 in math.AC | (1703.03359v1)

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.

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