UNEXPECTED SUBGROUP SCHEMES OF PGL 2,k IN CHARACTERISTIC 2
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | GOUTHIER, Bianca | |
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | TOSSICI, Dajano | |
dc.date.accessioned | 2024-04-04T02:29:39Z | |
dc.date.available | 2024-04-04T02:29:39Z | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190196 | |
dc.description.abstractEn | If the characteristic of a field $k$ is odd any infinitesimal group scheme of $PGL_{2,k}$ lifts to $SL_{2,k}$. In this paper, we prove that this is not true in characteristic $2$ and we give a complete description, up to isomorphism, of infinitesimal unipotent subgroup schemes of $PGL_{2,k}$. Also, the infinitesimal trigonalizable case is considered. | |
dc.language.iso | en | |
dc.subject.en | infinitesimal group schemes | |
dc.subject.en | actions of group schemes | |
dc.title.en | UNEXPECTED SUBGROUP SCHEMES OF PGL 2,k IN CHARACTERISTIC 2 | |
dc.type | Document de travail - Pré-publication | |
dc.subject.hal | Mathématiques [math]/Géométrie algébrique [math.AG] | |
dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
hal.identifier | hal-04520609 | |
hal.version | 1 | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-04520609v1 | |
bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=GOUTHIER,%20Bianca&TOSSICI,%20Dajano&rft.genre=preprint |
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