A local-global principle for the telescope conjecture

Abstract

We prove an etale 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.

to appear in Adv. Math

References in corpus (2)

• Higher Topos Theory
• Brauer groups and étale cohomology in derived algebraic geometry

Cited by in corpus (4)

• Perfect complexes on algebraic stacks
• The telescope conjecture for algebraic stacks
• Gluing compactly generated t-structures over stalks of affine schemes
• Telescope conjecture via homological residue fields with applications to schemes