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<p>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.</p>

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Non-archimedean analytic singular homology based on cosimplicial perfectoid spaces and integration along cycles

  • 期刊论文

  • 发表日期：

    2025年11月17日

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  • Tomoki Mihara

摘要

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.