A p-divisible group scheme or Barsotti-Tate group of corank h is a family of finite abelian group schemes G, of order pf" together with maps i G -> G.+1 such that... [Pg.134]

Demazure, M. Lectures on p-Divisible Groups, Lecture Notes in Math. 302 (New York Springer, 1972). [Pg.169]

Let us take a deformation E of Eq over S = Spec(A [[T]]) such that E is ordinary over the generic point of 5. In this way the polarized p-divisible group yb[p°°] is deformed into... [Pg.70]

Tate, J. p-Divisible Groups, Proceedings of a Conference on Local Fields, Nuffic Summer School at Driebergen, Springer-Verlag, 1967. [Pg.190]

Results of the type obtained here have been previously announced in Cartier s Bourbaki talk [ 7 ]. He assumes the ring Aq is a perfect field of characteristic p and that the Barsotti-Tate groups in question are p-divisible formal Lie groups. Apparently he uses a more "Dieudonne module theoretic" approach. He obtains finer results about the structure of the crystal E)(G) than those obtained here, in particular the result labeled 1) below. [Pg.7]

In either case a) or b) it is immediate that the relevant group is of p-torsion and p-divisible and thus a Barsotti-Tate group. [Pg.16]

Corollary (4.6) If S is artin, a p-divisible formal Lie group is a Barsotti-Tate group with G(l) radiciel and conversely Proof (4. 3) and (4. 5). [Pg.62]

To show G is a Barsotti-Tate group, it must be shown that G is of p-torsion, is p-divisible and that the G(n) are finite and locally-free. [Pg.156]

Serre, J-P. Groupes p-divisibles (d apres J. Tate), Seminaire Bourbaki, expose 318, 1966-67. [Pg.190]

Division of the receptors in the adrenergic nervous system into two classes (a and P) was proposed in 1948 (39) when a difference in the rank order of potency of epinephrine (1, R = CH ), norephinephrine (1, R = H), and isoproterenol [7683-59-2], C H yNO, (1, R = CH(CH3)2) was noted to depend on the organ examined. Eurther subdivision into groups P2 proposed in 1967 (40). Both types of P-adrenoceptors are found throughout the... [Pg.438]

Types of Solids Geldart [Fowder TechnoL, 7, 285-292 (1973)] has characterized four groups of solids that exhibit different properties when fluidized with a gas. Figure 17-j shows the division oi the classes as a function of mean particle size, d,, Im, and densitv difference, (p, — P/ ), g/cm, where p, = particle density and p = fluid density... [Pg.1560]

See also in sourсe #XX -- [ Pg.126 ]

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