Year: 2026
Type: preprint
Abstract: We develop a general theory of analytic prismatization with $\mathbb{Q}_p$-coefficients in rigid analytic geometry over $\mathbb{Q}_p$. We prove an equivalence of perfect complexes on the perfect analytic prismatization modulo Frobenius with perfect complexes on the relative Fargues--Fontaine curve for any smooth partially proper rigid analytic variety. In particular, we explain how this equivalence conceptualizes the decompletion techniques by passing to locally analytic vectors which appear in (geometric) Sen theory
Source: arXiv (Cornell University)
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223152136