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arXiv · 1211.1422

Non-Archimedean Analytic Singular Homology Based On Cosimplicial Perfectoid Spaces and Integration along Cycles

Tomoki Mihara
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Abstract

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.

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Tomoki Mihara. 2012-11-06. Non-Archimedean Analytic Singular Homology Based On Cosimplicial Perfectoid Spaces and Integration along Cycles. https://doi.org/10.1007/s11139-025-01255-8

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