Generalized ring of norms and generalized (φ,Γ)-modules
Andreatta, Fabrizio1
1 Università La Sapienza, Dipartimento di Matematica - Instituto G. Castelnuovo, Piazzale Aldo Moro 2, 00185 Roma (Italie)
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 39 (2006) no. 4, pp. 599-647.
DOI : 10.1016/j.ansens.2006.07.003
Andreatta, Fabrizio 1

1 Università La Sapienza, Dipartimento di Matematica - Instituto G. Castelnuovo, Piazzale Aldo Moro 2, 00185 Roma (Italie) 
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Andreatta, Fabrizio. Generalized ring of norms and generalized $(\phi ,\Gamma )$-modules. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 39 (2006) no. 4, pp. 599-647. doi : 10.1016/j.ansens.2006.07.003. http://archive.numdam.org/articles/10.1016/j.ansens.2006.07.003/

[1] Abrashkin V., An analogue of the-field-of norms functor and of the Grothendieck conjecture, Preprint, 2005.

[2] Atiyah M.F., Macdonald I.G., Introduction to Commutative Algebra, Addison-Wesley, Reading, MA, 1969. | MR | Zbl

[3] Cherbonnier F., Colmez P., Représentations p-adiques surconvergentes, Invent. Math. 133 (3) (1998) 581-611. | MR | Zbl

[4] Dee J., Φ-Γ-modules for families of Galois representations, J. Algebra 235 (2001) 636-664. | MR | Zbl

[5] Eisenbud D., Commutative Algebra. With a View Toward Algebraic Geometry, Graduate Texts in Math., vol. 150, Springer, New York, 1995. | MR | Zbl

[6] Faltings G., p-adic Hodge theory, J. Amer. Math. Soc. 1 (1988) 255-299. | MR | Zbl

[7] Faltings G., Almost étale extensions, in: Berthelot P., Fontaine J.-M., Illusie L., Kato K., Rapoport M. (Eds.), Cohomologies p-adiques et applications arithmétiques, vol. II, Astérisque, vol. 279, 2002, pp. 185-270. | Numdam | MR | Zbl

[8] Fontaine J.-M., Wintenberger J.-P., Le “corps des normes” de certaines extensions algébriques des corps locaux, CRAS 288 (1979) 367-370. | Zbl

[9] Fontaine J.-M., Wintenberger J.-P., Extensions algébriques et corps des normes des extensions APF des corps locaux, CRAS 288 (1979) 441-444. | MR | Zbl

[10] Fontaine J.-M., Représentations p-adiques des corps locaux, in: Cartier P., Illusie L., Katz N.M., Laumon G., Manin Y., Ribet K.A. (Eds.), The Grothendieck Festschrift, vol. II, Progress in Math., vol. 87, Birkhäuser, Basel, 1991, pp. 249-309. | MR | Zbl

[11] Grothendieck A., Dieudonné J., Éléments de géométrie algébrique, Publ. Math. IHÉS 20, 24 (1964-1965). | Numdam

[12] Katz N., P-adic properties of modular schemes and modular forms, in: Modular functions of one variable III, Lecture Notes in Math., vol. 350, Springer, Berlin, 1973, pp. 69-190. | MR | Zbl

[13] Matsumura H., Commutative Algebra, W.A. Benjamin, New York, 1970. | MR | Zbl

[14] Scholl A.J., Higher fields of norms and (ϕ,Γ)-modules, Documenta Mathematica, in press. | Zbl

[15] Serre J.-P., Corps locaux, Hermann, Paris, 1962. | MR | Zbl

[16] Tate J., p-divisible groups, in: Springer T.A. (Ed.), Proc. Conf. Local Fields, Driebergen, 1966, Springer, Berlin, 1967, pp. 158-183. | MR | Zbl

[17] Wintenberger J.-P., Le corps des normes de certaines extensions infinies des corps locaux; applications, Ann. Sci. ENS 16 (1983) 59-89. | Numdam | MR | Zbl

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