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... This universal isogeny is given by the Artin-Schreier map ℘ (= Frobenius minus identity), and the abelianized fundamental group is given by the kernel of ℘, which is the group of k-valued points of Gu ab X (cf. [Se,VI,[6][7][8][9][10][11][12]in part. No. 11,Prop. ...