Almost étale extensions

Faltings, Gerd

Cohomologies

p

-adiques et applications arithmétiques (II), Astérisque no. 279 (2002), p. 185-270

MR 1922831 | Zbl 1027.14011 | 6 citations in Numdam

@incollection{AST_2002__279__185_0,
     author = {Faltings, Gerd},
     title = {Almost \'etale extensions},
     booktitle = {Cohomologies $p$-adiques et applications arithm\'etiques (II)},
     editor = {Berthelot Pierre and Fontaine Jean-Marc and Illusie Luc and Kato Kazuya and Rapoport Michael},
     series = {Ast\'erisque},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {279},
     year = {2002},
     pages = {185-270},
     zbl = {1027.14011},
     mrnumber = {1922831},
     language = {en},
     url = {http://www.numdam.org/item/AST_2002__279__185_0}
}

Faltings, Gerd. Almost étale extensions, in Cohomologies $p$-adiques et applications arithmétiques (II), Astérisque, no. 279 (2002), pp. 185-270. http://www.numdam.org/item/AST_2002__279__185_0/

References

[B] P. Berthelot - Cohomologie Cristalline des Schémas de Caractéristique $p > 0$ , Springer Lecture Notes, vol. 407, 1974. | MR 384804 | Zbl 0298.14012

[BO] P. Berthelot & A. Ogus - $F$ -Isocrystals and de Rham Cohomology I, Invent math. 72 (1983), p. 159-199. | Article | MR 700767 | Zbl 0516.14017

[Fa1] G. Faltings - Hodge-Tate Structures and Modular Forms, Math. Annalen 278 (1987), p. 133-149. | Article | MR 909221 | Zbl 0646.14026

[Fa2] G. Faltings, $p$ -adic Hodge theory, J. Amer. Math. Soc. 1 (1988), p. 255-288. | MR 924705 | Zbl 0764.14012

[Fa3] G. Faltings, Crystalline Cohomology and $p$ -adic Galois representations, Algebraic Analysis, Geometry and Number Theory (J. Igusa, ed.), John Hopkins Univ. Press, Baltimore, 1989, p. 25-80. | MR 1463696 | Zbl 0805.14008

[Fa4] G. Faltings, $F$ -isocrystals on open varieties, Results and conjectures, Grothendieck's 60th Birthday Festschrift, vol. II, Birkhäuser, Boston, 1990, p. 219-248. | MR 1106900 | Zbl 0736.14004

[Fa5] G. Faltings, Crystalline cohomology of semistable curves, and $p$ -adic Galois representations, J. Alg. Geom. 1(1992), p. 61-81. | MR 1129839 | Zbl 0813.14012

[Fa6] G. Faltings, Crystalline cohomology of semistable curves, the $ℚ_{p}$ -theory, J. Alg. Geom. 6(1997), p. 1-18. | MR 1486990 | Zbl 0883.14007

[Fa7] G. Faltings, Integral crystalline cohomology over very ramifed valuation rings, J. Amer. Math. Soc. 12 (1999), p. 117-144. | Article | MR 1618483 | Zbl 0914.14009

[Fo] J.-M. Fontaine (ed.) - Périodes $p$ -adiques, Astérisque, vol. 223, 1994.

[FL] J.-M. Fontaine & G. Lafaille - Construction de répresentations $p$ -adiques, Ann. Sci. Éc. Norm. Sup. 15 (1982), p. 547-608. | Article | Numdam | MR 707328 | Zbl 0579.14037

[GR] O. Gabber & L. Ramero - Almost ring theory, preprint, 1999. | MR 2004652 | Zbl 1045.13002

[H] R. Hartshorne - Residues and Duality, Springer Lecture Notes, vol. 20, 1966. | MR 222093 | Zbl 0212.26101

[K] K. Kato - Logarithmic Structures of Fontaine-Illusie, Algebraic Analysis, Geometry, and Number Theory (J.I. Igusa, ed.), Johns Hopkins University Press, Baltimore, 1989, p. 191-224. | MR 1463703 | Zbl 0776.14004

[KKMS] G. Kempf, F. Knudsen, D. Mumford & B. Saint-Donat - Toroidal embeddings I, Springer Lecture Notes, vol. 339, 1973. | MR 335518 | Zbl 0271.14017

[O] A. Ogus - $F$ -isocrystals and de Rham cohomology II - convergent isocrystals, Duke Math. J. 51 (1984), p. 765-850. | Article | MR 771383 | Zbl 0584.14008

[Ta] J. Tate - $p$ -divisible groups, Driebergen Conference on Local Fields (T.A. Springer, ed.), Springer-Verlag, Berlin, 1967, p. 158-183. | Article | MR 231827 | Zbl 0157.27601

[Ts] T. Tsuji - $p$ -adic etale cohomology and crystalline cohomology in the semi-stable reduction case, Invent, math. 137 (1999), p. 233-411. | Article | MR 1705837 | Zbl 0945.14008