$F_p$-espaces vectoriels de formes différentielles logarithmiques sur la droite projective
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en
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Este ítem está publicado en
Journal of Number Theory. 2002, vol. 97, p. 58-94
Elsevier
Resumen en inglés
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 ...Leer más >
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 $k[[t]]$.< Leer menos
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