Raynaud on F -vector schemes and prolongation
نویسنده
چکیده
Theorem 1.1 (Theorem 4.1.1 of Raynaud’s paper). Let R be strictly henselian, mixed characteristic, with residue field of characteristic p, with v(p) = e (where the v of a uniformizer is 1). Let G be the generic fiber of a finite, flat, commutative R-group scheme G that is killed by p. Suppose e ≤ p− 1. The action of Gal(K̄/K) on det(G) is given by the tame character τ v(D̄(G)) p , where we will give τp explicitly later, and D̄ denotes the nonzero discriminant ideal in R.
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