@incollection{AST_2002__279__323_0, author = {Tsuji, Takeshi}, title = {Semi-stable conjecture of {Fontaine-Jannsen} : a survey}, 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}, pages = {323--370}, publisher = {Soci\'et\'e math\'ematique de France}, number = {279}, year = {2002}, mrnumber = {1922833}, zbl = {1041.14003}, language = {en}, url = {http://www.numdam.org/item/AST_2002__279__323_0/} }
TY - CHAP AU - Tsuji, Takeshi TI - Semi-stable conjecture of Fontaine-Jannsen : a survey BT - Cohomologies $p$-adiques et applications arithmétiques (II) AU - Collectif ED - Berthelot Pierre ED - Fontaine Jean-Marc ED - Illusie Luc ED - Kato Kazuya ED - Rapoport Michael T3 - Astérisque PY - 2002 SP - 323 EP - 370 IS - 279 PB - Société mathématique de France UR - http://www.numdam.org/item/AST_2002__279__323_0/ LA - en ID - AST_2002__279__323_0 ER -
%0 Book Section %A Tsuji, Takeshi %T Semi-stable conjecture of Fontaine-Jannsen : a survey %B Cohomologies $p$-adiques et applications arithmétiques (II) %A Collectif %E Berthelot Pierre %E Fontaine Jean-Marc %E Illusie Luc %E Kato Kazuya %E Rapoport Michael %S Astérisque %D 2002 %P 323-370 %N 279 %I Société mathématique de France %U http://www.numdam.org/item/AST_2002__279__323_0/ %G en %F AST_2002__279__323_0
Tsuji, Takeshi. Semi-stable conjecture of Fontaine-Jannsen : a survey, in Cohomologies $p$-adiques et applications arithmétiques (II), Astérisque, no. 279 (2002), pp. 323-370. http://www.numdam.org/item/AST_2002__279__323_0/
[Ber74] Cohomologie cristalline des schémas de caractéristique , Lecture Notes in Math. 407, Springer, 1974. | MR | Zbl
-[BK86] -adic etale cohomology, Publ Math. IHES. 63 (1986), p. 107-152. | DOI | EuDML | Numdam | MR | Zbl
& -[BM] Torsion etale and crystalline cohomologies, these proceedings.
& -[B078] Notes on crystalline cohomology, Princeton University Press, 1978. | MR | Zbl
& -[B083] -isocrystals and de Rham cohomology I, Invent math. 72 (1983), p. 159-199. | DOI | EuDML | MR | Zbl
& ,[Bre96] Topologie log-syntomique, cohomologie log-cristalline et cohomologie de Čech, Bull Soc. math. France 124 (1996), p. 587-647. | DOI | EuDML | Numdam | MR | Zbl
-[Bre98a] Construction de représentations -adiques semi-stables, Ann. Scient. E. N. S. 31 (1998), p. 281-327. | EuDML | Numdam | MR | Zbl
,[Bre98b] Cohomologie étale de -torsion et cohomologie cristalline en réduction semi-stable, Duke Math. J. 95 (1998), p. 523-620. | DOI | MR | Zbl
,[dJ96] Smoothness, semi-stability and alterations, Publ. Math. IHES 83 (1996), p. 51-93. | DOI | EuDML | Numdam | MR | Zbl
-[Fal88] -adic Hodge theory, Journal of the AMS 1(1988), p. 255-299. | MR | Zbl
-[Fal89] Crystalline cohomology and -adic Galois representations, Algebraic analysis, geometry, and number theory, Johns Hopkins University Press, Baltimore, 1989, p. 25-80. | MR | Zbl
,[Fal92] Crystalline cohomology of semi-stable curves, and -adic Galois representations, Journal of Algebraic Geometry 1(1992), p. 61-82. | MR | Zbl
,[Fal] Almost étale extensions, these proceedings.
,[FI93] -adic periods: a survey, Proceedings of the Indo-Prench Conference on Geometry (Bombay, 1989), Hindustan Book Agency, Delhi, 1993, p. 57-93. | MR | Zbl
& -[FL82] Constructions de représentations -adiques, Ann. Sci. Éc. Norm. Sup. 15 (1982), p. 547-608. | DOI | EuDML | Numdam | MR | Zbl
& -[FM87] -adic periods and p-adic étale cohomology, Contemporary Math. 67, 1987, p. 179-207. | DOI | MR | Zbl
& -[Fon82] Sur certains types de représentations -adiques du groupe de Galois d'un corps local; construction d'un anneau de Barsotti-Tate, Ann. of Math. 115 (1982), p. 529-577. | DOI | MR | Zbl
-[Fon83] Cohomologie de de Rham, cohomologie cristalline et représentations -adiques, Algebraic Geometry, Lecture Notes in Math. 1016, Springer, 1983, p. 86-108. | DOI | MR | Zbl
,[Fon94a] Le corps des périodes -adiques, Périodes -adiques, Séminaire de Bures 1988, Astérisque 223, 1994, p. 59-111. | Numdam | MR | Zbl
,[Fon94b] Représentations -adiques semi-stables, Périodes -adiques, Séminaire de Bures, 1988, Astérisque 223, 1994, p. 113-183. | MR | Zbl
,[Gro72] Groupes de monodromie en géométrie algébrique (SGA7) I, Lecture Notes in Math. 288, Springer, 1972. | MR
-[HK94] Semi-stable reduction and crystalline cohomology with logarithmic poles, Périodes -adiques, Séminaire de Bures, 1988, Astérisque 223, 1994, p. 221-268. | Numdam | MR | Zbl
&, -[Hyo88] A note on -adic etale cohomology in the semi-stable reduction case, Invent math. 91 (1988), p. 543-557. | DOI | EuDML | MR | Zbl
-[Hyo91] On the de Rham-Witt complex attached to a semi-stable family, Composite Mathematica 78 (1991), p. 241-260. | EuDML | Numdam | MR | Zbl
,[Ill90] Cohomologie de de Rham et cohomologie étale -adique, Séminaire Bourbaki 1989/90, Exp. 726, Astérisque 189-190, 1990, p. 325-374. | EuDML | Numdam | MR | Zbl
-[Jan89] On the -adic cohomology of varieties over number fields and its Galois cohomology, Galois groups over , Springer, 1989, p. 315-360. | DOI | MR | Zbl
-[Kat87] On -adic vanishing cycles (Application of ideas of Fontaine-Messing), Advanced Studies in Pure Math. 10, 1987, p. 207-251. | DOI | MR | Zbl
-[Kat89] Logarithmic structures of Fontaine-Illusie, Algebraic analysis, geometry, and number theory, Johns Hopkins University Press, Baltimore, 1989, p. 191-224. | MR | Zbl
,[Kat94a] Semi-stable reduction and -adic etale cohomology, Périodes -adiques, Séminaire de Bures, 1988, Astérisque 223, 1994, p. 269-293. | Numdam | MR | Zbl
,[Kat94b] Toric singularities, Amer. J. Math. 116 (1994), p. 1073-1099. | DOI | MR | Zbl
,[KM92] Syntomic cohomology and -adic étale cohomology, Tôhoku Math. J. 44 (1992), p. 1-9. | DOI | MR | Zbl
& -[Kur87] A note on -adic cohomology, Proc. Japan. Academy 63 (1987), p. 275-278. | DOI | MR | Zbl
-[Niz98a] Crystalline conjecture via -theory, Ann. Scient. E. N. S. 31 (1998), p. 659-681. | EuDML | Numdam | MR | Zbl
-[Niz98b] Semi-stable conjecture for vertical log-smooth families, 1998, preprint.
,[Ser67] Sur les groupes de Galois attachés aux groupes -divisibles, Proc. of a Conf. on local fields, Driebergen 1966, Springer, 1967, p. 118-131. | MR | Zbl
-[Tat67] -divisible groups, Proc. of a Conf. on local fields, Driebergen 1966, Springer, 1967, p. 158-183. | MR | Zbl
-[Tsu96] Syntomic complexes and -adic vanishing cycles, J. reine angew. Math. 472 (1996), p. 69-138. | EuDML | MR | Zbl
-[Tsu98] -adic Hodge theory in the semi-stable reduction case, Proceedings of the ICM, Vol. II (Berlin, 1998), Doc. Math., 1998, p. 207-216. | EuDML | MR | Zbl
-[Tsu99] -adic étale cohomology and crystalline cohomology in the semi-stable reduction case, Invent math 137 (1999), p. 233-411. | DOI | MR | Zbl
-