Purity and almost strict purity of Anderson $t$-modules
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).
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| Format: | Article |
| Language: | English |
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Académie des sciences
2024-09-01
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| Series: | Comptes Rendus. Mathématique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.611/ |
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| author | Alexis, Lucas |
| author_facet | Alexis, Lucas |
| author_sort | Alexis, Lucas |
| collection | DOAJ |
| description | 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). |
| format | Article |
| id | doaj-art-611ba9fe4e854498bfbd8338af3df82b |
| institution | Kabale University |
| issn | 1778-3569 |
| language | English |
| publishDate | 2024-09-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj-art-611ba9fe4e854498bfbd8338af3df82b2025-02-07T11:22:29ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692024-09-01362G780781210.5802/crmath.61110.5802/crmath.611Purity and almost strict purity of Anderson $t$-modulesAlexis, Lucas0Normandie Univ, UNICAEN, CNRS, LMNO, 14000 Caen, FranceWe 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).https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.611/Purityalmost strict purityAnderson t-modules$t$-motiveNewton polygons |
| spellingShingle | Alexis, Lucas Purity and almost strict purity of Anderson $t$-modules Comptes Rendus. Mathématique Purity almost strict purity Anderson t-modules $t$-motive Newton polygons |
| title | Purity and almost strict purity of Anderson $t$-modules |
| title_full | Purity and almost strict purity of Anderson $t$-modules |
| title_fullStr | Purity and almost strict purity of Anderson $t$-modules |
| title_full_unstemmed | Purity and almost strict purity of Anderson $t$-modules |
| title_short | Purity and almost strict purity of Anderson $t$-modules |
| title_sort | purity and almost strict purity of anderson t modules |
| topic | Purity almost strict purity Anderson t-modules $t$-motive Newton polygons |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.611/ |
| work_keys_str_mv | AT alexislucas purityandalmoststrictpurityofandersontmodules |