Comparing v-numbers of symbolic and ordinary powers of squarefree monomial ideals

Trung Chau, Tài Huy Hà, A. V. Jayanthan +1

Let $I$ be a squarefree monomial ideal, and let $d$ denote the maximum degree of a minimal generator of $I$. We prove that \[ v(I^t)\le v(I^{(t)})+(t-1)(d-1) \] for all $t\ge 1$, wh…