Non-Archimedean Analytic Singular Homology Based On Cosimplicial Perfectoid Spaces and Integration along Cycles
Number Theory
2025-11-18 v2 Algebraic Geometry
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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Cite
@article{arxiv.1211.1422,
title = {Non-Archimedean Analytic Singular Homology Based On Cosimplicial Perfectoid Spaces and Integration along Cycles},
author = {Tomoki Mihara},
journal= {arXiv preprint arXiv:1211.1422},
year = {2025}
}
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67 pages