A local-global principle for the telescope conjecture

Benjamin Antieau*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We prove an étale local-global principle for the telescope conjecture and use it to show that the telescope conjecture holds for derived categories of Azumaya algebras on noetherian schemes as well as for many classifying stacks and gerbes. This specializes to give another proof of the fact that the telescope conjecture holds for noetherian schemes.

Original languageEnglish (US)
Pages (from-to)280-299
Number of pages20
JournalAdvances in Mathematics
Volume254
DOIs
StatePublished - Mar 20 2014
Externally publishedYes

Keywords

  • Azumaya algebras
  • Derived categories
  • Telescope conjecture

ASJC Scopus subject areas

  • Mathematics(all)

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