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The Balmer spectrum of certain Deligne–Mumford stacks
Published online by Cambridge University Press: 24 May 2023
Abstract
We consider a Deligne–Mumford stack $X$ which is the quotient of an affine scheme
$\operatorname {Spec}A$ by the action of a finite group
$G$ and show that the Balmer spectrum of the tensor triangulated category of perfect complexes on
$X$ is homeomorphic to the space of homogeneous prime ideals in the group cohomology ring
$H^*(G,A)$.
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- Research Article
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- © 2023 The Author(s). The publishing rights in this article are licensed to Foundation Compositio Mathematica under an exclusive licence
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