The frame of smashing tensor-ideals

DOI10.1017/S0305004118000725zbMath1469.18028arXiv1701.05937OpenAlexW2963385018WikidataQ129082896 ScholiaQ129082896MaRDI QIDQ5216090

Paul Balmer, Greg Stevenson, Henning Krause

Publication date: 14 February 2020

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.05937

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Derived categories, triangulated categories (18G80) Monoidal categories and operads (18M99)

Related Items (6)

Stratification and the smashing spectrum ⋮ Tensor structure for Nori motives ⋮ Homological support of big objects in tensor-triangulated categories ⋮ Tensor-triangular fields: ruminations ⋮ Nilpotence theorems via homological residue fields ⋮ Supports for constructible systems

Cites Work

• The spectrum of a locally coherent category
• The Boolean algebra of spectra
• Smashing subcategories and the telescope conjecture -- an algebraic approach
• Character sheaves on unipotent groups in positive characteristic: foundations.
• Variations of the telescope conjecture and Bousfield lattices for localized categories of spectra
• Triangulated Categories
• Generalized tensor idempotents and the telescope conjecture
• Cohomological quotients and smashing localizations
• The point of pointless topology
• Axiomatic stable homotopy theory
• A Tour of Support Theory for Triangulated Categories Through Tensor Triangular Geometry
• The spectrum of prime ideals in tensor triangulated categories
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