The $a_0$-invariants of powers of a two-dimensional squarefree monomial ideal

Lizhong Chu, Dancheng Lu

Let $\Delta$ be an one-dimensional simplicial complex on $\{1,2,\dots ,s\}$ and $S$ the polynomial ring $K[x_1,\dots ,x_s]$ over a field $K$. The explicit formula for $a_0(S/I_{\Delta }^n)$ is…