@article{PMIHES_1977__47__187_0,
author = {Bloch, Spencer},
title = {Algebraic $K$-theory and crystalline cohomology},
journal = {Publications Math\'ematiques de l'IH\'ES},
pages = {187--268},
year = {1977},
publisher = {Institut des Hautes Etudes Scientifiques},
volume = {47},
mrnumber = {488288},
zbl = {0388.14010},
language = {en},
url = {https://www.numdam.org/item/PMIHES_1977__47__187_0/}
}
TY - JOUR AU - Bloch, Spencer TI - Algebraic $K$-theory and crystalline cohomology JO - Publications Mathématiques de l'IHÉS PY - 1977 SP - 187 EP - 268 VL - 47 PB - Institut des Hautes Etudes Scientifiques UR - https://www.numdam.org/item/PMIHES_1977__47__187_0/ LA - en ID - PMIHES_1977__47__187_0 ER -
Bloch, Spencer. Algebraic $K$-theory and crystalline cohomology. Publications Mathématiques de l'IHÉS, Tome 47 (1977), pp. 187-268. https://www.numdam.org/item/PMIHES_1977__47__187_0/
[1] and , Formal groups arising from algebraic varieties (preprint). | Zbl | Numdam
[1 bis] , Supersingular K-3 surfaces, Annales E.N.S., t. 7 (1974), pp. 543-568. | Zbl | MR | Numdam | EuDML
[2] , Notes in the Comptes Rendus Acad. Sc. Paris, t. 269 (1969), pp. 297-300, 357-360, 397-400; t. 272 (1971), pp. 141-144, 1314-1317, 1397-1400.
[3] , Cohomologie Cristalline des Schémas de Caractéristique p > o, Lecture Notes in Math., n° 407, Berlin, Springer, 1974. | Zbl | MR
[3 bis] , Slopes of Frobenius in crystalline cohomology, Proc. Symp. Pure Math., vol. XXIX (1975), pp. 315-328. | Zbl | MR
[3 ter] , SGA 6, Exposé V, Lecture Notes in Math., n° 225, Berlin, Springer, 1971. | MR
[4] and , Classes de Chern en cohomologie cristalline, Comptes Rendus Acad. Sc. Paris, t. 270 (1970), pp. 1695-1697, 1750-1752. | Zbl | MR
[5] , K2 and algebraic cycles, Annals of Math., vol. 99 (1974), pp. 349-379. | Zbl | MR
[6] , On the tangent space to Quillen K-theory, Algebraic K-theory I, Lecture Notes in Math., n° 341, Berlin, Springer, 1973. | Zbl | MR
[7] , private correspondence.
[8] , Groupes formels associés aux anneaux de Witt généralisés, Comptes rendus Acad. Sc. Paris, t. 265 (1967), pp. 50-52. | Zbl | MR
[9] , Modules associés à un groupe formel commutatif. Courbes typiques, Comptes rendus Acad. Sc. Paris, t. 265 (1967), pp. 129-132. | Zbl | MR
[10] , Relèvements des groupes formels commutatifs, Séminaire Bourbaki, n° 359 (1968-1969) ; Lecture Notes in Math., n° 179, Berlin, Springer, 1971. | Zbl | Numdam
[11] , Questions de rationalité des diviseurs en géométrie algébrique, Bull. Soc. Math. France, 86 (1958), pp. 177-251. | Zbl | MR | Numdam
[12] , Lectures on p-divisible groups, Lecture Notes in Math., n° 302, Berlin, Springer, 1972. | Zbl | MR
[13] and , Homologie nicht-additiver Functoren. Anwendungen, Ann. Inst. Fourier, 11 (1961), pp. 201-312. | Zbl | MR | Numdam
[14] , Higher K-theory of rings ; and Some exact sequences in the higher K-theory of rings, Algebraic K-theory I, Lecture Notes in Math., n° 341, Berlin, Springer, 1973. | Zbl
[15] , Products in algebraic K-theory (preprint).
[15 bis] , The localization theorem for projective modules (preprint). | Zbl
[16] , Crystals and the de Rham cohomology of schemes, in Dix exposés sur la cohomologie des schémas, Amsterdam, North Holland, 1968. | Zbl | MR
[17] , S.G.A. VI, Exposé o, Lecture Notes in Math., n° 225, Berlin, Springer, 1971. | MR
[18] , Classes de Chern et représentations linéaires des groupes discrets, in Dix exposés sur la cohomologie des schémas, Amsterdam, North Holland, 1968. | Zbl | MR
[19] , S.G.A. IV, Exposé 3, Lecture Notes in Math., n° 269, Berlin, Springer, 1972.
[20] , , Éléments de géométrie algébrique, Publ. Math. I.H.E.S., 4, 8, 11, 17, 20, 24, 28, 32 (1959-1967). | Numdam
[20 bis] , Groupe de Brauer III, in Dix exposés sur la cohomologie des schémas, Amsterdam, North Holland, 1968. | Zbl
[21] , letter to Gersten.
[21 bis] , Report on Crystalline cohomology, Proc. Symp. Pure Math., vol. XXIX (1975), pp. 459-478. | Zbl | MR
[22] , Generalization of p-adic cohomology (preprint).
[23] , The theory of commutative formal groups over fields of finite characteristic, English translation, Russian Math. Surveys, 18, 1963. | Zbl | MR
[23 bis] , Frobenius and the Hodge filtration, Bull. A.M.S., 78 (1972), pp. 653-667. | Zbl | MR
[24] , Higher Algebraic K-theory I, Algebraic K-theory I, Lecture Notes in Math., n° 341, Berlin, Springer, 1973. | Zbl | MR
[25] , Sur la topologie des variétés algébriques en charactéristique p, Symposium Internacional de Topologia Algebraica, Mexico (1958), pp. 24-53. | Zbl | MR
[26] , Surjective stability in dimension o for K2 and related functors, Trans. A.M.S. (to appear). | Zbl
[27] , Le K2 des nombres duaux, Comptes rendus Acad. Sc. Paris, t. 273 (1971), 1204-1207. | Zbl | MR
[28] and , K2 of discrete valuation rings (to appear).
[29] , private correspondence.
[30] , Introduction to Algebraic K-theory, Annals of Math. Studies, n° 72, Princeton University Press, 1971. | Zbl | MR
[31] , Curves on an Algebraic Surface, Annals of Math. Studies, n° 59, Princeton University Press, 1966. | Zbl | MR
[32] , K-théorie algébrique et représentations de groupes, thèse, Université Louis-Pasteur, Strasbourg, 1975. | MR
[33] , Algebraic K-theory, New York, Benjamin, 1968. | Zbl | MR





