Separable monoids in D-qc(X)
Suppose (T,⊗,𝟙) is a tensor triangulated category. In a number of recent articles Balmer defines and explores the notion of “separable tt-rings” in T (in this paper we will call them “separable monoids”). The main result of this article is that, if T is the derived quasicoherent category of a noetherian scheme X, then the only separable monoids are the pushforwards by étale maps of smashing Bousfield localizations of the structure sheaf.
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|Source:||Journal fur Reine und Angewandte Mathematik|
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