Coefficient fields and scalar extension in positive characteristic
Abstract
Let k be a perfect field of positive characteristic, k(t)per the perfect closure of k(t) and A=k[[X1,...,Xn]]. We show that for any maximal ideal N of A'=k(t)perk A, the elements in A'N which are annihilated by the "Taylor" Hasse-Schmidt derivations with respect to the Xi form a coefficient field of A'N.
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