The Balmer spectrum of a tame stack

Jack Hall

doi:10.2140/akt.2016.1.259

The Balmer spectrum of a tame stack

Jack Hall

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

5 Scopus citations

Abstract

Let X be a quasicompact algebraic stack with quasifinite and separated diagonal. We classify the thick ⊗-ideals of D_qc (X)^c . If X is tame, then we also compute the Balmer spectrum of the ⊗-triangulated category of perfect complexes on X. In addition, if X admits a coarse space X_cs, then we prove that the Balmer spectra of X and X_cs are naturally isomorphic.

Original language	English (US)
Pages (from-to)	259-274
Number of pages	16
Journal	Annals of K-Theory
Volume	1
Issue number	3
DOIs	https://doi.org/10.2140/akt.2016.1.259
State	Published - 2016
Externally published	Yes

Keywords

Algebraic stacks
Derived categories

ASJC Scopus subject areas

Analysis
Geometry and Topology

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10.2140/akt.2016.1.259

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abstract = "Let X be a quasicompact algebraic stack with quasifinite and separated diagonal. We classify the thick ⊗-ideals of Dqc (X)c . If X is tame, then we also compute the Balmer spectrum of the ⊗-triangulated category of perfect complexes on X. In addition, if X admits a coarse space Xcs, then we prove that the Balmer spectra of X and Xcs are naturally isomorphic.",

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AB - Let X be a quasicompact algebraic stack with quasifinite and separated diagonal. We classify the thick ⊗-ideals of Dqc (X)c . If X is tame, then we also compute the Balmer spectrum of the ⊗-triangulated category of perfect complexes on X. In addition, if X admits a coarse space Xcs, then we prove that the Balmer spectra of X and Xcs are naturally isomorphic.

KW - Algebraic stacks

KW - Derived categories

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JF - Annals of K-Theory

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The Balmer spectrum of a tame stack

Abstract

Keywords

ASJC Scopus subject areas

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