On the stable Harbourne conjecture for ideals defining space monomial curves

Kosuke Fukumuro, Yuki Irie

For the ideal $\mathfrak{p}$ in $k[x,y,z]$ defining a space monomial curve, we show that ${\mathfrak{p}}^{(2n-1)}\subseteq \mathfrak{m}{\mathfrak{p}}^n$ for some positive inte…