Multiplicity of powers of squarefree monomial ideals

Phan Thi Thuy, Thanh Vu

Let $I$ be an arbitrary nonzero squarefree monomial ideal of dimension $d$ in a polynomial ring $S=\mathrm{k}[x_1,\dots ,x_n]$. Let $\mu$ be the number of associated primes of $S/I…