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Rational analytic prismatization
Abstract
We develop a general theory of analytic prismatization with ℚp-coefficients in rigid analytic geometry over ℚp. 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
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BibTeX
@misc{anschutz2026rational,
title = {{Rational analytic prismatization}},
author = {Johannes Anschütz and Arthur-César Le Bras and Juan Esteban Rodríguez Camargo and Peter Scholze},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.27918},
eprint = {2610.27918},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.27918},
}
RIS
TY - UNPB
TI - Rational analytic prismatization
AU - Johannes Anschütz
AU - Arthur-César Le Bras
AU - Juan Esteban Rodríguez Camargo
AU - Peter Scholze
PY - 2026
DA - 2026/10/20
PB - arXiv
DO - 10.48550/arxiv.2610.27918
UR - https://arxiv.org/abs/2610.27918
AB - We develop a general theory of analytic prismatization with ℚ_p-coefficients in rigid analytic geometry over 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
ER -