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Laffaille, Guy

Groupes \(p\)-divisibles et modules filtres: Le cas peu ramifie. (French) Zbl 0453.14021

Bull. Soc. Math. Fr. 108, 187-206 (1980).
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Cited in 3 Reviews
Cited in 18 Documents

MSC:

14L05 Formal groups, \(p\)-divisible groups
14F30 \(p\)-adic cohomology, crystalline cohomology
13K05 Witt vectors and related rings (MSC2000)

Keywords:

filtered modules; Witt vectors; p-divisible groups; essential image of the Grothendieck-Messing functor; crystalline cohomology

Citations:

Zbl 0244.14016; Zbl 0331.14021; Zbl 0243.14013; Zbl 0377.14009; Zbl 0438.14028; Zbl 0258.14006; Zbl 0261.14005
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\textit{G. Laffaille}, Bull. Soc. Math. Fr. 108, 187--206 (1980; Zbl 0453.14021)
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References:

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[2] DIEUDONNÉ (J.) . - Groupes de Lie et hyperalgèbres de Lie sur un corps de caractéristique p>0 (VII) , Math. Ann., t. 134, 1957 , p. 114-133. MR 20 #4608 | Zbl 0086.02605 · Zbl 0086.02605
[3] FONTAINE (J.-M.) . - Groupes p-divisibles sur les corps locaux . Astérisque, 47-48, Soc. math. de France. 1977 . MR 58 #16699 | Zbl 0377.14009 · Zbl 0377.14009
[4] FONTAINE (J.-M.) . - Modules galoisiens, modules filtrés et anneaux de Barsotti-Tate , in Journées de Géométrie algébrique de Rennes, 1978 , Astérisque, 65, Soc. Math. de France, 1979 . Zbl 0429.14016 · Zbl 0429.14016
[5] GROTHENDIECK (A.) . - Groupes de Barsotti-Tate et cristaux . Actes du congrès inter. math., 1970 , t. 1, p. 431-436, Gauthier-Villars. Paris, 1971 . Zbl 0244.14016 · Zbl 0244.14016
[6] GROTHENDIECK (A.) . - Groupes de Barsotti-Tate et cristaux de Dieudonné , Université de Montréal, Montréal, 1974 . MR 54 #5250 | Zbl 0331.14021 · Zbl 0331.14021
[7] LAFFAILLE (G.) . - Constructions de groupes p-divisibles . Le cas de dimension 1, in Journées de Géométrie algébrique de Rennes, 1978 . Astérisque, 65, Soc. Math. de France, 1979 . Zbl 0438.14028 · Zbl 0438.14028
[8] MANIN (Y.) . - The theory of commutative formal groups over fields of finite characteristic , Russian Math. Surveys, 18, 1963 , p. 1-83. MR 28 #1200 | Zbl 0128.15603 · Zbl 0128.15603
[9] MAZUR (B.) . - Frobenius and the Hodge filtration , Bull. A.M.S., 78, 1972 , p. 653-667. Article | MR 48 #8507 | Zbl 0258.14006 · Zbl 0258.14006
[10] MAZUR (B.) . - Frobenius and the Hodge filtration (Estimates) , Ann. of. Math., t. 98, 1973 , p. 58-95. MR 48 #297 | Zbl 0261.14005 · Zbl 0261.14005
[11] MESSING (W.) . - The Crystals Associated to Barsotti-Tate Groups : with Applications to Abelian Schemes , Lecture Notes in Math., n^\circ 264, Springer, Berlin, 1972 . MR 50 #337 | Zbl 0243.14013 · Zbl 0243.14013
[12] OGUS (A.) . - Griffiths transversality in crystalline cohomology , Ann. of Math., t. 108, 1978 , p. 395-419. MR 80d:14012 | Zbl 0362.14007 · Zbl 0362.14007
[13] SAAVEDRA RIVANO (N.) . - Catégories tannakiennes , Lecture Notes in Math., n^\circ 265, Springer, Berlin, 1972 . MR 49 #2769 | Zbl 0241.14008 · Zbl 0241.14008
[14] SERRE (J.-P.) . - Abelian l-Adic representations and elliptic curves , Benjamin, New York, 1968 . MR 41 #8422 | Zbl 0186.25701 · Zbl 0186.25701
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