The MMP for deformations of Hilbert schemes of points on the projective plane

Abstract

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.

Cited by in corpus (6)

• Birational models of moduli spaces of coherent sheaves on the projective plane
• The Effective Cone of Moduli Spaces of Sheaves on a Smooth Quadric Surface
• Bridgeland stability of minimal instanton bundles on Fano threefolds
• Stable sheaves on bielliptic surfaces: from the classical to the modern
• Smoothness and Poisson structures of Bridgeland moduli spaces on Poisson surfaces
• Wall-Crossing implies Brill-Noether. Applications of stability conditions on surfaces