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arXiv · 1304.0903

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

Alexander Kuznetsov
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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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Alexander Kuznetsov. 2013-04-03. A simple counterexample to the Jordan-H\"older property for derived categories. https://arxiv.org/abs/1304.0903

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