Work

$q$–de Rham complexes of higher level

Year: 2024

Type: article

Abstract: In this article, we construct two kinds of de Rham–like complexes which compute the cohomology of complete crystals on the higher-level q -crystalline site, which was introduced in a previous article by the author. One complex is the q -analog of the higher de Rham complex constructed by Miyatani, and another complex is the q -analog of the jet complex constructed by Le Stum–Quirós. The complexes we construct can also be regarded as the higher-level analogs of the q –de Rham complex.

Source: Rendiconti del Seminario Matematico della Università di Padova

DOI: 10.4171/rsmup/170

Author: Kimihiko Li

Institution: The University of Tokyo

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4403378555

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