Presents a construction for inducing t-structures on semiorthogonal components via perverse t-structures and applies it to obtain bounded t-structures on phantom categories, Fano complements, Enriques residuals, and other examples.
Quasi-convergence of stability conditions
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abstract
We develop a framework relating semiorthogonal decompositions of a triangulated category $\mathcal{C}$ to paths in its space of stability conditions. We prove that when $\mathcal{C}$ is the homotopy category of a smooth and proper idempotent complete pre-triangulated dg-category, every semiorthogonal decomposition whose factors admit a Bridgeland stability condition can be obtained from our framework.
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math.AG 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Inducing t-structures on semiorthogonal components
Presents a construction for inducing t-structures on semiorthogonal components via perverse t-structures and applies it to obtain bounded t-structures on phantom categories, Fano complements, Enriques residuals, and other examples.