Fp-espaces vectoriels de formes différentielles logarithmiques sur la droite projective
Guillaume Pagot
Abstract
Let k be an algebraically closed field of characteristic p >0. Let m ∈ , (m,p)=1. We study -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]].
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