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.
A simple counterexample to the Jordan-H\"older property for derived categories
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abstract
A counterexample to the Jordan-H\"older property for semiorthogonal decompositions of derived categories of smooth projective varieties was constructed by B\"ohning, Graf von Bothmer and Sosna. In this short note we present a simpler example by realizing Bondal's quiver in the derived category of a blowup of the projective space.
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math.AG 1years
2026 1verdicts
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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.