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math.AGApr 3, 2012
4
citations (OpenAlex)
authors
  • Yukinobu Toda
arXiv abstractPDF
paper

Stability conditions and extremal contractions

arXiv:1204.0602

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 (12)

  • Markov convexity and local rigidity of distorted metrics
  • Dirichlet branes, homological mirror symmetry, and stability
  • Computing the Walls Associated to Bridgeland Stability Conditions on Projective Surfaces
  • Log Crepant Birational Maps and Derived Categories
  • Rank One Bridgeland Stable Moduli Spaces on A Principally Polarized Abelian Surface
  • Bridgeland-Stable Moduli Spaces for K-Trivial Surfaces
  • Fourier-Mukai transforms and the wall-crossing behavior for Bridgeland's stability conditions
  • Projectivity and Birational Geometry of Bridgeland moduli spaces
  • Bridgeland Stability conditions on threefolds I: Bogomolov-Gieseker type inequalities
  • The Minimal Model Program for the Hilbert Scheme of Points on P^2 and Bridgeland Stability
  • Some moduli spaces of Bridgeland's stability conditions
  • Bridgeland's stabilities on abelian surfaces

Cited by in corpus (3)

  • A generalized Bogomolov-Gieseker inequality for the three-dimensional projective space
  • Bridgeland Stability conditions on threefolds I: Bogomolov-Gieseker type inequalities
  • ACM bundles on cubic fourfolds containing a plane
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