Containments of symbolic powers of ideals of generic points in $\PP^3$

Marcin Dumnicki

We show that the Conjecture of Harbourne and Huneke, $I^{(Nr-(N-1))}\subset M^{(r-1)(N-1)}{I}^r$ holds for ideals of generic (simple) points in $\PP^3$. As a result, for such idea…