In solvable models the quantum stability path enters the semiorthogonal selection region at finite time and never leaves; the cubic-fourfold chamber theorem and the full determinant dictionary remain conjectural.
Some examples of spaces of stability conditions on derived categories
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abstract
We study stability conditions on the derived categories of coherent sheaves on some projective varieties. We give a complete description of the stability manifold for smooth projective curves and we examine a connected open subset of the stability manifold for projective spaces and del Pezzo surfaces.
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K3 atoms of the cubic fourfold and the BPS structure of the Painlev\'e I determinant line
In solvable models the quantum stability path enters the semiorthogonal selection region at finite time and never leaves; the cubic-fourfold chamber theorem and the full determinant dictionary remain conjectural.