Separable monoids in \(\mathbf D_{qc}(X)\) (Q1747189)

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.