Fetching the paper…
Reading the bibliography…
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.
Faisceaux pervers
A. Beilinson, J. Bernstein, and P. Deligne · 1982
Earlier work this paper cites.
Tilting in abelian categories and quasitilted algebras
D. Happel, I. Reiten, and S. O. Smal ø \o · 1996
Earlier work this paper cites.
Flops and derived categories
T. Bridgeland · 2002
Earlier work this paper cites.
Dirichlet branes, homological mirror symmetry, and stability
M. Douglas · 2002
Earlier work this paper cites.
Toward a definition of moduli of complexes of coherent sheaves on a projective scheme
M. Inaba · 2002
Earlier work this paper cites.
Methods of Homological Algebra (2nd edition)
S. Gelfand and Y. Manin · 2003
Earlier work this paper cites.
Three dimensional flops and noncommutative rings
M. Van den Bergh · 2004
Cited alongside, same era.
Stability conditions on triangulated categories
T. Bridgeland · 2007
Cited alongside, same era.
Stability conditions on K {K} 3 surfaces
T. Bridgeland · 2008
Cited alongside, same era.
Stability conditions for generic K3 categories
D. Huybrechts, E. Macri, and P. Stellari · 2008
Cited alongside, same era.
Moduli stacks and invariants of semistable objects on K3 surfaces
Y. Toda · 2008
Cited alongside, same era.
Stability conditions and crepant small resolutions
Y. Toda · 2008
Cited alongside, same era.
Projectivity and birational geometry of Bridgeland moduli spaces
Curve counting theories via stable objects I: DT/PT correspondence
Y. Toda · 2010
Later among the works it cites.
Bridgeland-stable moduli spaces for K-trivial surfaces. With an appendix by Max Lieblich
D. Arcara and A. Bertram · 2013
Closest in time.
The minimal model program for Hilbert schemes of points on the projective plane and Bridgeland stability
D. Arcara, A. Bertram, I. Coskun, and J. Huizenga · 2013
Closest in time.
Rank one Bridgeland stable moduli spaces on a principally polarized abelian surfaces
A. Maciocia and C. Meachan · 2013
Closest in time.
Curve counting theories via stable objects II. DT/ncDT/flop formula
Y. Toda · 2013
Closest in time.
Stability conditions and extremal contractions
Y. Toda · 2013
Closest in time.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
A. Bayer and E. Macri
Cited in the paper.
Bridgeland stability conditions on 3-folds I: Bogomolov-Gieseker type inequalities
A. Bayer, E. Macri, and Y. Toda
Cited in the paper.
Stability structures, motivic Donaldson-Thomas invariants and cluster transformations
M. Kontsevich and Y. Soibelman
Cited in the paper.
Computing the walls associated to Bridgeland stability conditions on projective surfaces
A. Maciocia
Cited in the paper.
Fourier-Mukai transforms and the wall-crossing behavior for Bridgeland’s stability conditions
H. Minamide, S. Yanagida, and K. Yoshioka
Cited in the paper.
Some moduli spaces of Bridgeland stability conditions
H. Minamide, S. Yanagida, and K. Yoshioka
Cited in the paper.