$F_p$-espaces vectoriels de formes différentielles logarithmiques sur la droite projective
| hal.structure.identifier | Théorie des Nombres et Algorithmique Arithmétique [A2X] | |
| dc.contributor.author | PAGOT, Guillaume | |
| dc.date.created | 2002 | |
| dc.date.issued | 2002 | |
| dc.identifier.issn | 0022-314X | |
| dc.description.abstractEn | Let k be an algebraically closed field of characteristic p >0. Let $m \in \N$, (m,p)=1. We study $\fp$-vector spaces of logarithmic differential forms on the projective line such that each non zero form has a unique zero at $\infty$ of given order m-1. We discuss the existence of such vectors spaces according to the value of m. We give applications to the lifting to characteristic 0 of $(\Z /p\Z)^n$ actions as k-automorphisms of $k[[t]]$. | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.title | $F_p$-espaces vectoriels de formes différentielles logarithmiques sur la droite projective | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| dc.subject.hal | Mathématiques [math]/Géométrie algébrique [math.AG] | |
| dc.identifier.arxiv | math.NT/0203259 | |
| bordeaux.journal | Journal of Number Theory | |
| bordeaux.page | 58-94 | |
| bordeaux.volume | 97 | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00127029 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Non spécifiée | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00127029v1 | |
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