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

2012/11/06 by Mihara, Tomoki
#Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1211.1422

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.

Related

• Derived non-archimedean analytic spaces
• Non-Archimedean Geometry and Applications
• Singularities and Enriched Cycles
• Analytic singularities supported by a specific integral homology sphere link
• Equivalences for Morse homology