On the defining equations of the tangent cone of a numerical semigroup ring

Jürgen Herzog, Dumitru I. Stamate

Let $\mathbf{a}=a_1<\cdots <a_r$ be a sequence of positive integers, and let $H_{\mathbf{a}}$ denote the semigroup generated by $a_1,\dots ,a_r$. For an integer $k\ge 0$ we de…