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2016 The Balmer spectrum of a tame stack
Jack Hall
Ann. K-Theory 1(3): 259-274 (2016). DOI: 10.2140/akt.2016.1.259

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.

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Jack Hall. "The Balmer spectrum of a tame stack." Ann. K-Theory 1 (3) 259 - 274, 2016. https://doi.org/10.2140/akt.2016.1.259

Information

Received: 29 December 2014; Revised: 6 October 2015; Accepted: 4 November 2015; Published: 2016
First available in Project Euclid: 16 November 2017

zbMATH: 1374.14016
MathSciNet: MR3529092
Digital Object Identifier: 10.2140/akt.2016.1.259

Subjects:
Primary: 14F05
Secondary: 13D09 , 14A20 , 18G10

Keywords: algebraic stacks , derived categories

Rights: Copyright © 2016 Mathematical Sciences Publishers

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