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

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.

67 pages

References in corpus (1)

• On Tate Acyclicity and Uniformity of Berkovich Spectra and Adic Spectra

Cited by in corpus (1)

• $p$-adic Mahler measure and $\mathbb{Z}$-covers of links