2 problems

Let $h$ be a complex polynomial and let $Z_{\mathrm{top},0}(h,s)$ be its local topological zeta function at the origin. If $s_0$ is a pole, write it in the source's notation as…

Let $k$ be a field of characteristic zero, let $X=\mathbb A^d_{\mathbb C}$, let $h\in\mathbb C[x_1,\ldots,x_d]$ satisfy $h(\mathbf 0)=0$, and let $Z_{DL}(h,T)$ be the local Denef–L…