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The Balmer spectrum of certain Deligne-Mumford stacks (2101.01446v2)
Published 5 Jan 2021 in math.AG and math.RT
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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