Suppose (T, circle times, 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 etale maps of smashing Bousfield localizations of the structure sheaf.
Separable monoids in Dqc(X) / A. Neeman. - In: JOURNAL FÜR DIE REINE UND ANGEWANDTE MATHEMATIK. - ISSN 1435-5345. - 738:(2018 May), pp. 237-280. [10.1515/crelle-2015-0039]
Separable monoids in Dqc(X)
A. Neeman
2018
Abstract
Suppose (T, circle times, 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 etale maps of smashing Bousfield localizations of the structure sheaf.
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