Free resolutions for the tangent cones of some homogeneous pseudo symmetric monomial curves

Abstract

In this article, we study minimal graded free resolutions of Cohen-Macaulay tangent cones of some monomial curves associated to 4-generated pseudo symmetric numerical semigroups. We explicitly give the matrices in these minimal free resolutions.

Keywords

• Minimal graded free resolution
• pseudo symmetric monomial curves
• homogeneous semigroup
• Betti numbers

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