The birational geometry of moduli space of sheaves on the projective plane

Abstract

We describe a close relation between wall crossings in the birational geometry of moduli space of Gieseker stable sheaves $M_H(v)$ on $\bb{P}^2$ and mini-wall crossings in the stability manifold $Stab(D^b(\bb{P}^2))$.

arXiv comment33 pages, comments welcome

References in corpus (3)

• Bridgeland-Stable Moduli Spaces for K-Trivial Surfaces
• Projectivity and Birational Geometry of Bridgeland moduli spaces
• The Minimal Model Program for the Hilbert Scheme of Points on P^2 and Bridgeland Stability

Cited by in corpus (3)

• The geometry of the moduli space of one-dimensional sheaves
• Virtual Poincaré polynomial of the space of stable pairs supported on quintic curves
• Moduli of sheaves, Fourier-Mukai transform, and partial desingularization