Separable monoids in Dqc(X)

Amnon Neeman

doi:10.1515/crelle-2015-0039

Separable monoids in D_qc(X)

Amnon Neeman^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	237-280
Number of pages	44
Journal	Journal fur die Reine und Angewandte Mathematik
Volume	2015
DOIs	https://doi.org/10.1515/crelle-2015-0039
Publication status	Published - 2015

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title = "Separable monoids in Dqc(X)",

abstract = "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 {\'e}tale maps of smashing Bousfield localizations of the structure sheaf.",

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AB - 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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DO - 10.1515/crelle-2015-0039

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JO - Journal fur die Reine und Angewandte Mathematik

JF - Journal fur die Reine und Angewandte Mathematik

ER -

Separable monoids in D_qc(X)

Abstract

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