THE DERIVED CATEGORY OF AN ÉTALE EXTENSION AND THE SEPARABLE NEEMAN–THOMASON THEOREM

DOI10.1017/S1474748014000449zbMath1346.14044arXiv1408.3376OpenAlexW2963606576MaRDI QIDQ3178581

Paul Balmer

Publication date: 14 July 2016

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.3376

zbMATH Keywords

derived categoryseparable extensionétaleNeeman-Thomason

Mathematics Subject Classification ID

Étale and other Grothendieck topologies and (co)homologies (14F20) Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads (18C15)

Related Items (6)

Quasi-Galois theory in symmetric monoidal categories ⋮ Levelwise modules over separable monads on stable derivators ⋮ Separable monoids in \(\mathbf D_{qc}(X)\) ⋮ Affine space over triangulated categories: a further invitation to Grothendieck derivators ⋮ Separable commutative rings in the stable module category of cyclic groups ⋮ On the differential graded Eilenberg-Moore construction

Cites Work

• Separability and triangulated categories
• A Brown representability theorem via coherent functors
• Heller triangulated categories
• Foundations of Grothendieck duality for diagrams of schemes
• The Grothendieck duality theorem via Bousfield’s techniques and Brown representability
• The connection between the $K$-theory localization theorem of Thomason, Trobaugh and Yao and the smashing subcategories of Bousfield and Ravenel

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