@article {Pagot:November 2002:0022-314X:58, author = "Pagot G.", title = "Fp-espaces vectoriels de formes differentielles logarithmiques sur la droite projective", journal = "Journal of Number Theory", volume = "97", year = "November 2002", 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).