Green-Lazarsfeld index of square-free monomial ideals and their powers

Mohammad Farrokhi Derakhshandeh Ghouchan, Yasin Sadegh, Ali Akbar Yazdan Pour

Let $\mathbb{K}$ be a field and $I$ be a square-free monomial ideal in the polynomial ring $\mathbb{K}[x_1,\dots ,x_n]$. The Green-Lazarsfeld index, $\mathrm{index}(I)$, counts t…