Purity and almost strict purity of Anderson $t$-modules

Lucas Alexis

doi:10.5802/crmath.611

Research article - Number theory

Purity and almost strict purity of Anderson

t

-modules

Lucas Alexis ¹

¹ Normandie Univ, UNICAEN, CNRS, LMNO, 14000 Caen, France

Comptes Rendus. Mathématique, Volume 362 (2024), pp. 807-812

Abstract (Original language)
Résumé

We study the relations between the notion of purity of a $t$ -module introduced by Anderson and that of almost strict purity for a $t$ -module introduced by Namoijam and Papanikolas (concept already mentioned by G. Anderson and D. Goss).

On étudie les relations entre la notion de pureté d’un t-module introduite par Anderson et celle de presque pureté pour un t-module introduite par Namoijam et Papanikolas (concept déjà mentionné par G. Anderson et D. Goss).

Received: 2022-11-18
Revised: 2023-09-12
Accepted: 2024-01-07
Published online: 2024-09-17

Zbl

DOI: 10.5802/crmath.611

Keywords: Purity, almost strict purity, Anderson t-modules, $t$-motive, Newton polygons
Mots-clés : Pureté, presque stricte pureté, t-modules d’Anderson, $t$-motifs, polygone de Newton

Author's affiliations:

Lucas Alexis ¹

¹ Normandie Univ, UNICAEN, CNRS, LMNO, 14000 Caen, France

License:

CC-BY 4.0

Copyrights: The authors retain unrestricted copyrights and publishing rights

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     title = {Purity and almost strict purity of {Anderson} $t$-modules},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {807--812},
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     publisher = {Acad\'emie des sciences, Paris},
     volume = {362},
     doi = {10.5802/crmath.611},
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     language = {en},
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Lucas Alexis. Purity and almost strict purity of Anderson $t$-modules. Comptes Rendus. Mathématique, Volume 362 (2024), pp. 807-812. doi: 10.5802/crmath.611

References
Cited by

[1] Greg W. Anderson $t$ -motives, Duke Math. J., Volume 53 (1986) no. 2, pp. 457-502 | DOI | MR | Zbl

[2] David Goss Basic structures of function field arithmetic, Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge, 35, Springer, 1996, xiv+422 pages | Zbl | DOI | MR

[3] Andreas Maurischat Abelian equals A-finite for Anderson A-modules (2022) (https://arxiv.org/abs/2110.11114v2)

[4] Changningphaabi Namoijam; Matthew A. Papanikolas Hyperderivatives of periods and quasi-periods for Anderson $t$ -modules (2022) (https://arxiv.org/abs/2103.05836)

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