_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)

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Abstract:

Let k be an algebraically closed field of characteristic p>0. Let m isin Nopf , (m,p)=1. We study Fopf _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 ( Zopf /p Zopf )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: http://dx.doi.org/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

Publication date: 2002-11-01