$F_p$-espaces vectoriels de formes différentielles logarithmiques sur la droite projective
| dc.creator | Pagot, Guillaume | |
| dc.date | 2002-03-25 | |
| dc.date.accessioned | 2026-07-07T04:47:17Z | |
| dc.date.available | 2026-07-07T04:47:17Z | |
| dc.description | 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.description | 36 pages, to appear in journal of Number Theory | |
| dc.identifier | https://arxiv.org/abs/math/0203259 | |
| dc.identifier | http://arxiv.org/abs/math/0203259 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63652 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14D15; 14E22; 14F10; 14L30 | |
| dc.title | $F_p$-espaces vectoriels de formes différentielles logarithmiques sur la droite projective | |
| dc.type | text |