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

Part of: (Co)homology theory Abelian categories

Published online by Cambridge University Press:  12 December 2014

Paul Balmer
Paul Balmer*
Affiliation:
Mathematics Department, UCLA, Los Angeles, CA 90095-1555, USA (balmer@math.ucla.edu) URL: http://www.math.ucla.edu/∼balmer
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Abstract

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We prove that étale morphisms of schemes yield separable extensions of derived categories. We then generalize the Neeman–Thomason localization theorem to separable extensions of triangulated categories.

Keywords

Neeman–Thomasonseparable extensionétalederived category

MSC classification

Primary: 14F20: Étale and other Grothendieck topologies and (co)homologies 18E30: Derived categories, triangulated categories
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 15 , Issue 3 , July 2016 , pp. 613 - 623
Copyright
© Cambridge University Press 2014 

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