A 1-dimensional formal group over the prismatization of Spf Z_p
Algebraic Geometry
2023-12-27 v5 Algebraic Topology
K-Theory and Homology
Number Theory
Abstract
Let Sigma denote the prismatization of Spf (Z_p). The multiplicative group over Sigma maps to the prismatization of the multiplicative group over Spf (Z_p). We prove that the kernel of this map is the Cartier dual of some 1-dimensional formal group over Sigma. We obtain some results about this formal group (e.g., we describe its Lie algebra). We give a very explicit description of the pullback of the formal group to the quotient of the q-de Rham prism by the action of the multiplicative group of Z_p.
Cite
@article{arxiv.2107.11466,
title = {A 1-dimensional formal group over the prismatization of Spf Z_p},
author = {Vladimir Drinfeld},
journal= {arXiv preprint arXiv:2107.11466},
year = {2023}
}
Comments
Minor correction