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math.AGApr 3, 2013
15
citations (OpenAlex)
authors
  • Alexander Kuznetsov
arXiv abstractPDF
paper

A simple counterexample to the Jordan-Hölder property for derived categories

arXiv:1304.0903

Abstract

A counterexample to the Jordan-Hölder property for semiorthogonal decompositions of derived categories of smooth projective varieties was constructed by Böhning, 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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  • Discriminants and semi-orthogonal decompositions
  • Categorical dimension of birational automorphisms and filtrations of Cremona groups
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