The explicit reciprocity law and the cohomology of Fontaine-Messing
Bulletin de la Société Mathématique de France, Volume 119 (1991) no. 4, p. 397-441
@article{BSMF_1991__119_4_397_0,
     author = {Kato, Kazuya},
     title = {The explicit reciprocity law and the cohomology of Fontaine-Messing},
     journal = {Bulletin de la Soci\'et\'e Math\'ematique de France},
     publisher = {Soci\'et\'e math\'ematique de France},
     volume = {119},
     number = {4},
     year = {1991},
     pages = {397-441},
     doi = {10.24033/bsmf.2173},
     zbl = {0752.14015},
     mrnumber = {92k:11068},
     language = {en},
     url = {http://www.numdam.org/item/BSMF_1991__119_4_397_0}
}
Kato, Kazuya. The explicit reciprocity law and the cohomology of Fontaine-Messing. Bulletin de la Société Mathématique de France, Volume 119 (1991) no. 4, pp. 397-441. doi : 10.24033/bsmf.2173. http://www.numdam.org/item/BSMF_1991__119_4_397_0/

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1) The contents of § 1 are treated in the paper : Berthelot (P.) and Messing (W.). - Théorie de Dieudonné cristalline III, The Grothendieck Festschrift, vol. III, Birkhäuser 1990, p. 173-247. | MR 92h:14012 | Zbl 0753.14041

2) The modified complex S′n(r)A,B in § 3 is related to the crystalline cohomology theory with logarithmic poles developped in the following papers : Faltings (G.). - F-isocrystals on open varieties : Results and Conjectures, The Grothendieck Festschrift, vol. II, Birkhäuser 1990, p. 219-248. | MR 92f:14015 | Zbl 0736.14004

Kato (K.). - Logarithmic structures of Fontaine-Illusie, Proc. of first JAMI conference, John Hopkins Univ. Press, 1990, p. 80-99.