  We study the birational geometry of deformations of Hilbert schemes of points
on the projective plane P2. We complete the picture in the paper of Daniele
Arcara, Aaron Bertram, Izzet Coskun and Jack Huizenga by giving an explicit
correspondence between the stable base locus walls on the Neron-Severi space
and the actual walls on the Bridgeland stability space. We show that the
birational geometry of a deformed Hilb P2 is different from that of Hilb P2.
