Fp-Vector space of different logarithmic forms on the projective line

[摘要] Let k be an algebraically closed field of characteristic p > 0. Let m is an element of N, (m, p) = 1. We study F-p-vector spaces of logarithmic differential forms on the projective line such that each non-zero form has a unique zero at infinity of given order m - 1. We discuss the existence of such vectors spaces according to the value of in. We give applications to the lifting to characteristic 0 of (Z/pZ)(n) actions as k-automorphisms of k[[t]]. (C) 2002 Elsevier Science (USA).

[发布日期] 2002-11-01