The $\text{v}$-function of powers of sums of ideals

Antonino Ficarra, Pedro Macias Marques

Let $K$ be a field, $I\subset R=K[x_1,\dots ,x_n]$ and $J\subset T=K[y_1,\dots ,y_m]$ be graded ideals. Set $S=R{\otimes }_{K}T$ and let $L=IS+JS$. The behaviour of the $\text{v}$-functio…