Stability conditions and extremal contractions

Abstract

We show that any extremal contraction from a smooth projective variety with dimension less than or equal to three appears as a moduli space of (semi)stable objects in the derived category of coherent sheaves.

51 pages

References in corpus (4)

• Log Crepant Birational Maps and Derived Categories
• Bridgeland-Stable Moduli Spaces for K-Trivial Surfaces
• The Minimal Model Program for the Hilbert Scheme of Points on P^2 and Bridgeland Stability
• Bridgeland's stabilities on abelian surfaces