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We give a counterexample to the generalized Bogomolov-Gieseker inequality for threefolds conjectured by Bayer, Macr\`i and Toda using the blow up of a point over three dimensional projective space.
Dirichlet branes, homological mirror symmetry, and stability
M. R. Douglas · 2002
Earlier work this paper cites.
Stability conditions on triangulated categories
T. Bridgeland · 2007
Earlier work this paper cites.
The space of stability conditions on abelian threefolds, and on some Calabi-Yau threefolds, 2014
A. Bayer, E. Macrì, and P. Stellari · 2014
Earlier work this paper cites.
Bridgeland stability conditions on threefolds I: Bogomolov-Gieseker type inequalities
A. Bayer, E. Macrì, and Y. Toda · 2014
Earlier work this paper cites.
Computing the walls associated to Bridgeland stability conditions on projective surfaces
A. Maciocia · 2014
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A generalized Bogomolov-Gieseker inequality for the three-dimensional projective space
E. Macrì · 2014
Cited alongside, same era.
A generalized Bogomolov-Gieseker inequality for the smooth quadric threefold
B. Schmidt · 2014
Cited alongside, same era.
Stability conditions on fano threefolds of picard number one, 2015
C. Li · 2015
Later among the works it cites.
Bridgeland stability on threefolds - some wall crossings, 2015
B. Schmidt · 2015
Later among the works it cites.
Fourier–Mukai transforms and Bridgeland stability conditions on abelian threefolds II
A. Maciocia and D. Piyaratne · 2016
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