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arXiv · 2101.01446

The Balmer spectrum of certain Deligne-Mumford stacks

Eike Lau
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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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Eike Lau. 2021-01-05. The Balmer spectrum of certain Deligne-Mumford stacks. https://arxiv.org/abs/2101.01446

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