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. In this paper, we present a simple proof of Corollary 3.3 in[5] using the fact that for a K3 surface of nite height over a eld of oddcharacteristic, the height is a multiple of the non-symplectic order. Alsowe prove for a non-symplectic CM K3 surface de ned over a number eld,the Frobenius invariant of the reduction over a nite eld is determined bythe congruence class of residue characteristic modulo the non-symplecticorder of the K3 surface. 1. IntroductionLet kbe an algebraically closed eld of odd characteristic p. Let Wbe thering of Witt vectors of kand Kbe the fraction eld of W. Assume Xis a K3surface over k. The second crystalline cohomology of X, H 2cris (X=W) is a freeW-module of rank 22 equipped with a canonical Frobenius linear morphismF : H 2cris (X=W) !H 2cris (X=W):Let H 2cris (X=K) = H 2cris (X=W) Kbe the rational crystalline cohomology.If all the Newton slopes of F-isocrystal (H 2cris (X=K);F) are 1, we say X issupersingular. If Xis not supersingular, there exists an integer hbetween 1and 10 such that the slopes of H

SOME REMARKS ON NON-SYMPLECTIC AUTOMORPHISMS OF K3 SURFACES OVER A FIELD OF ODD CHARACTERISTIC