Modules of minimal dimension over completed Weyl algebras

We study the category of modules of minimal dimension over completed Weyl algebras in equal characteristic zero. In particular, we prove finiteness of de Rham cohomology of such modules.

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Publication Details

Journal
Documenta Mathematica
Published
2026-06-26
DOI
https://doi.org/10.4171/dm/1088
Primary Topic
Algebraic structures and combinatorial models
Type
preprint
Field-Weighted Citation Impact
0.00

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preprint

Modules of minimal dimension over completed Weyl algebras

Feliks Rączka
Documenta Mathematica
Algebraic structures and combinatorial models
preprint

Modules of minimal dimension over completed Weyl algebras

Feliks Rączka
preprint en

Abstract

We study the category of modules of minimal dimension over completed Weyl algebras in equal characteristic zero. In particular, we prove finiteness of de Rham cohomology of such modules.

Documenta Mathematica
University of Warsaw (PL), Polish Academy of Sciences (PL)
European Commission, Uniwersytet Warszawski
Openalex Percentile: Top 97%
Algebraic structures and combinatorial models
DOIOpen Access PDFOpenAlex
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Modules of minimal dimension over completed Weyl algebras — Feliks Rączka · Documenta Mathematica (2026) | TGRS Research Map | TGRS