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A simple counterexample to the Jordan-H\"older property for derived categories

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arxiv 1304.0903 v1 pith:RLOGPWCA submitted 2013-04-03 math.AG

Alexander Kuznetsov This is my paper
classification math.AG
keywords derivedcategoriescounterexamplejordan-holderprojectivepropertyblowup
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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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Cited by 1 Pith paper

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  1. Inducing t-structures on semiorthogonal components

    math.AG 2026-06 unverdicted novelty 6.0 of 10

    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 o...

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