Stability conditions and birational geometry of projective surfaces

Abstract

We show that the minimal model program on any smooth projective surface is realized as a variation of the moduli spaces of Bridgeland stable objects in the derived category of coherent sheaves.

39 pages, to appear in Compositio Mathematica

References in corpus (2)

• Markov convexity and local rigidity of distorted metrics
• Rank One Bridgeland Stable Moduli Spaces on A Principally Polarized Abelian Surface

Cited by in corpus (3)

• Stability conditions on product threefolds of projective spaces and Abelian varieties
• The Effective Cone of Moduli Spaces of Sheaves on a Smooth Quadric Surface
• Perverse coherent sheaves on blow-ups at codimension 2 loci