Non-Archimedean Analytic Singular Homology Based On Cosimplicial Perfectoid Spaces and Integration along Cycles
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arXiv
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| Format: | Preprint |
| Published: |
2012
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| _version_ | 1866911269095735296 |
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| author | Mihara, Tomoki |
| author_facet | Mihara, Tomoki |
| contents | We introduce singular homology for non-Archimedean analytic spaces using a cosimplicial perfectoid space as a Galois representation. We define an integration along a cycle, which gives a pairing with the singular homology and the space of differential forms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1211_1422 |
| institution | arXiv |
| publishDate | 2012 |
| record_format | arxiv |
| spellingShingle | Non-Archimedean Analytic Singular Homology Based On Cosimplicial Perfectoid Spaces and Integration along Cycles Mihara, Tomoki Number Theory Algebraic Geometry We introduce singular homology for non-Archimedean analytic spaces using a cosimplicial perfectoid space as a Galois representation. We define an integration along a cycle, which gives a pairing with the singular homology and the space of differential forms. |
| title | Non-Archimedean Analytic Singular Homology Based On Cosimplicial Perfectoid Spaces and Integration along Cycles |
| topic | Number Theory Algebraic Geometry |
| url | https://arxiv.org/abs/1211.1422 |