The Balmer spectrum of a tame stack

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5 Scopus citations


Let X be a quasicompact algebraic stack with quasifinite and separated diagonal. We classify the thick ⊗-ideals of Dqc (X)c . If X is tame, then we also compute the Balmer spectrum of the ⊗-triangulated category of perfect complexes on X. In addition, if X admits a coarse space Xcs, then we prove that the Balmer spectra of X and Xcs are naturally isomorphic.

Original languageEnglish (US)
Pages (from-to)259-274
Number of pages16
JournalAnnals of K-Theory
Issue number3
StatePublished - 2016
Externally publishedYes


  • Algebraic stacks
  • Derived categories

ASJC Scopus subject areas

  • Analysis
  • Geometry and Topology


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