Generalized cover ideals and the persistence property

Ashwini Bhat, Jennifer Biermann, Adam Van Tuyl

Let $I$ be a square-free monomial ideal in $R=k[x_1,\dots ,x_n]$, and consider the sets of associated primes $\mathrm{Ass}(I^s)$ for all integers $s\ge 1$. Although it is known th…