Tilt-stability is extended to singular schemes, a generalized Bogomolov-Gieseker conjecture is formulated and verified for certain singular threefolds, and stability conditions are constructed on relative Kuznetsov components.
Stronger Bogomolov–Gieseker type inequality on quintic threefold.arXiv preprint, arXiv:2511.21288,
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Tilt-stability on singular schemes and Bogomolov-Gieseker-type inequalities
Tilt-stability is extended to singular schemes, a generalized Bogomolov-Gieseker conjecture is formulated and verified for certain singular threefolds, and stability conditions are constructed on relative Kuznetsov components.