$q$-de Rham complexes of higher level
Algebraic Geometry
2024-08-27 v2 Number Theory
Abstract
In this article, we construct two kinds of de Rham-like complexes which compute the cohomology of complete crystals on the higher-level -crystalline site, which was introduced in a previous article of the author. One complex is the -analog of the higher de Rham complex constructed by Miyatani, and another complex is the -analog of the jet complex constructed by Le Stum-Quir\'os. The complexes we construct can also be regarded as the higher-level analogs of the -de Rham complex.
Keywords
Cite
@article{arxiv.2401.02057,
title = {$q$-de Rham complexes of higher level},
author = {Kimihiko Li},
journal= {arXiv preprint arXiv:2401.02057},
year = {2024}
}
Comments
v2: update, 66 pages