Separable monoids in \(\mathbf D_{qc}(X)\)
type: Item
instance of: scholarly article
title: Separable monoids in \(\mathbf D_{qc}(X)\)
zbMATH Open document ID: 1407.18012
author: Amnon Neeman
published in: Journal für die Reine und Angewandte Mathematik
publication date: 2018-05-04T00:00:00Z
review text: Balmer studied in a long series of papers tensor triangulated categories. The paper under review studies monoid objects in the derived category \(D_{qc}(X)\) of quasi-coherent sheaves over a noetherian scheme \(X\). The main result is that if \(R\) is a separable monoid in \(D_{qc}(X)\), then there exists an étale morphism \(g:U\rightarrow X\) and a specialisation closed subset \(W'\) of \(U\) so that \(R\) is the pushforward along \(g\) of the smashing Bousfield localisation \(L_{W'}{\mathcal O}_{U}\). The paper contains numerous examples and remarks.
reviewed by: Alexander Zimmermann
Mathematics Subject Classification ID: 18E30
Mathematics Subject Classification ID: 14F05
zbMATH DE Number: 6866513
MaRDI profile type: Publication
full work available at URL: crelle-2015-0039
OpenAlex ID: W2565118292
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DOI: 10.1515/CRELLE-2015-0039
description: scientific article; zbMATH DE number 6866513