Notes on Tate cohomology
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866912846080638976 |
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| author | Raksit, Arpon |
| author_facet | Raksit, Arpon |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_17677 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Notes on Tate cohomology Raksit, Arpon Algebraic Topology Algebraic Geometry 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. |
| title | Notes on Tate cohomology |
| topic | Algebraic Topology Algebraic Geometry |
| url | https://arxiv.org/abs/2601.17677 |