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On a smooth projective threefold, we show that there are only two isomorphism types for the moduli of stable objects with respect to Bayer's standard polynomial Bridgeland stability - the moduli of Gieseker-stable sheaves and the moduli of PT-stable objects - under the following assumptions: no two of the stability vectors are collinear, and the degree and rank of the objects are relatively prime.
Stable reflexive sheaves
R. Hartshorne · 1980
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Some moduli spaces for rank 2 stable reflexive sheaves on p3
R. M. Miró-Roig · 1987
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Fourier-mukai transforms for k3 and elliptic fibrations
T. Bridgeland and A. Maciocia · 2002
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Stability conditions on triangulated categories
T. Bridgeland · 2007
Earlier work this paper cites.
Moduli of reflexive sheaves on smooth projective 3-folds
P. Vermeire · 2007
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Polynomial bridgeland stability conditions and the large volume limit
A. Bayer · 2009
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Curve counting via stable pairs in the derived category
R. Pandharipande and R. Thomas · 2009
Cited alongside, same era.
Limit stable objects on calabi-yau 3-folds
Y. Toda · 2009
Cited alongside, same era.
The Geometry of Moduli Spaces of Sheaves
D. Huybrechts and M. Lehn · 2010
Cited alongside, same era.
Moduli of pt-semistable objects ii
J. Lo · 2010
Cited alongside, same era.
Bridgeland stability conditions on threefolds i: Bogomolov-gieseker type inequalities
A. Bayer, E. Macrì, and Y. Toda · 2011
Cited alongside, same era.
On the s-fundamental group scheme
A. Langer · 2011
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Polynomial bridgeland stability for the derived category of sheaves on surfaces
W.-P. Li and Z. Qin · 2011
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Moduli of pt-semistable objects i
J. Lo · 2011
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Stability and fourier-mukai transforms on elliptic fibrations
J. Lo · 2012
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A generalized bogomolov-gieseker inequality for the three-dimensional projective space
E. Macrì · 2012
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