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Formes différentielles et modules de Tate des variétés abéliennes sur les corps locaux. (Différential forms and Tate modules of abelian varieties over local fields). (French) Zbl 0502.14015

MSC:
14L05 Formal groups, \(p\)-divisible groups
14G20 Local ground fields in algebraic geometry
14K15 Arithmetic ground fields for abelian varieties
11S20 Galois theory
14L15 Group schemes
14F10 Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials
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References:
[1] Cassels, J.W.S., Frohlich, A.: Algebraic Number Theory. London-New York: Academic Press 1967
[2] Fontaine, J.-M.: Groupesp-divisibles sur les corps locaux. Astérisque 47-48. Société Mathématique de France, Paris 1977
[3] Fontaine, J.-M.: Sur certains types de représentationsp-adiques du groupe de Galois d’un corps local; construction d’un anneau de Barsotti-Tate. Ann. of Maths., à paraître
[4] Lubin, J., Tate, J.: Formal complex multiplication in local fields. Ann. of Maths.81, 380-387 (1965) · Zbl 0128.26501
[5] Serre, J.-P.: Corps locaux. Paris: Hermann, 2{\(\deg\)} éd. 1968
[6] Serre, J.-P.: Abelianl-Adic Representations and Elliptic Curves. New York-Amsterdam: Benjamin 1968
[7] Serre, J.-P.: Sur les groupes de Galois attachés aux groupesp-divisibles. In: Proceedings of a Conference on Local Fields, Edited by T.A. Springer Berlin-Heidelberg-New York: Springer 1967
[8] Serre, J.-P.: Résumé des cours de 1965-1966. Annuaire du Collège de France, pp. 49-58, Paris 1967
[9] Tate, J.:p-Divisible Groups. In: Proceedings of a Conference on Local Fields, Edited by T.A. Springer. Berlin-Heidelberg-New York: Springer 1967 · Zbl 0157.27601
[10] SGA7I: Groupes de Monodromie en Géométrie Algébrique. Lect. Notes in Maths. 288. Berlin-Heidelberg-New York: Springer 1977
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