an:00016074
Zbl 0753.14041
Berthelot, Pierre; Messing, William
Th??orie de Dieudonn?? cristalline. III: Th??or??mes d'??quivalence et de pleine fid??lit??. (Dieudonn?? crystalline theory. III: Theorems of equivalence and of full faith)
FR
The Grothendieck Festschrift, Collect. Artic. in Honor of the 60th Birthday of A. Grothendieck. Vol. I, Prog. Math. 86, 173-247 (1990).
1990
a
14L05
Dieudonn?? crystalline theory; \(p\)-divisible group
[For the entire collection see Zbl 0717.00008; for part I see Ast??risque 63, 17-38 (1979; Zbl 0414.14014); part II appeared as book, Lect. Notes Math. 930 (1982; Zbl 0516.14015).]
This is the third in the series of papers devoted to Dieudonn?? crystalline theory. In the paper under review the authors prove some results announced in part I (loc. cit.). The authors study faithfulness properties of the Dieudonn?? crystalline functor.
As an application, the authors show that on a liftable proper smooth simply-connected variety each \(p\)-divisible group is isoconstant, i.e. isogenous to a constant \(p\)-divisible group.
F.L.Zak (Moskva)
Zbl 0717.00008; Zbl 0414.14014; Zbl 0516.14015