منابع مشابه
Minimal p-divisible groups
Introduction. A p-divisible group X can be seen as a tower of building blocks, each of which is isomorphic to the same finite group scheme X[p]. Clearly, if X1 and X2 are isomorphic then X1[p] ∼= X2[p]; however, conversely X1[p] ∼= X2[p] does in general not imply that X1 and X2 are isomorphic. Can we give, over an algebraically closed field in characteristic p, a condition on the p-kernels whic...
متن کاملp-DIVISIBLE GROUPS: PART II
This talk discusses the main results of Tate’s paper "p-Divisible Groups" [6]. From the point of view of p-adic Hodge theory, this is a foundational paper and within this setting, much of the technical work being done becomes extremely important. From our perspective, having just learned what p-divisible groups are three weeks ago, however, the significance of the results could easily be drowne...
متن کاملNOTES ON TATE’S p-DIVISIBLE GROUPS
The aim here is simply to provide some details to some of the proofs in Tate's paper [T]. 2. Tate's Section 2.2 2.1. Lemmas about divisibility. We say Γ → Γ is an isogeny of the formal group Γ = Spf(A) if the corresponding map A → A is injective and makes A free over itself of finite rank. Tate calls Γ divisible, if p : Γ → Γ is an isogeny. This is equivalent to ψ : A → A is injective and makes...
متن کاملOn period spaces for p-divisible groups
In their book Rapoport and Zink constructed rigid analytic period spaces for Fontaine’s filtered isocrystals, and period morphisms from moduli spaces of p-divisible groups to some of these period spaces. We determine the image of these period morphisms, thereby contributing to a question of Grothendieck. We give examples showing that only in rare cases the image is all of the Rapoport-Zink peri...
متن کاملDieudonné Modules and p-Divisible Groups
The notion of `-adic Tate modules, for primes ` away from the characteristic of the ground field, is incredibly useful. The analogous notion at the prime p is that of Dieudonné modules. At finite level, Dieudonné modules classify commutative finite group schemes of p-power order over a field of characteristic p. Dieudonné modules can be used to determine the local Brauer invariant of the endomo...
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ژورنال
عنوان ژورنال: Inventiones Mathematicae
سال: 1985
ISSN: 0020-9910,1432-1297
DOI: 10.1007/bf01388585