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arXiv · 2601.17677

Notes on Tate cohomology

Arpon Raksit
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Abstract

We formulate a definition of Tate cohomology in the context of three functor formalisms, and we establish basic monoidality and functoriality properties of it in this context. Our approach to these properties is based on the treatment of Nikolaus-Scholze in the setting of local systems of spectra on spaces. We discuss a couple of other specific settings of interest that are accommodated by our generalization.

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Arpon Raksit. 2026-01-25. Notes on Tate cohomology. https://arxiv.org/abs/2601.17677

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