p-espaces vectoriels de formes différentielles logarithmiques sur la droite projective
Author: Pagot G.
Source: Journal of Number Theory, Volume 97, Number 1, November 2002 , pp. 58-94(37)
Publisher: Academic Press
Abstract:
Let k be an algebraically closed field of characteristic p>0. Let m
, (m,p)=1. We study
p-vector spaces of logarithmic differential forms on the projective line such that each non-zero form has a unique zero at
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 (
/p
)n actions as k-automorphisms of k[[t]]. © 2002 Elsevier Science (USA).
Keywords: Mots cl´; s: Formes diffé rentielles logarithmiques en caracté ristique p>
Language: English
Document Type: Research article
DOI: 10.1006/jnth.2002.2806
Affiliations: Laboratoire de théorie des nombres et algorithmique arithmétique, Université de Bordeaux 1, 351, cours de la libération, Talence Cedex, 33405, France:

Click here for Page Help