@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}, publisher = {Institut des Hautes \'Etudes Scientifiques}, volume = {47}, year = {1977}, mrnumber = {488288}, zbl = {0388.14010}, language = {en}, url = {http://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 Études Scientifiques UR - http://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, Volume 47 (1977), pp. 187-268. http://www.numdam.org/item/PMIHES_1977__47__187_0/
[1] Formal groups arising from algebraic varieties (preprint). | Numdam | Zbl
and ,[1 bis] Supersingular K-3 surfaces, Annales E.N.S., t. 7 (1974), pp. 543-568. | EuDML | Numdam | MR | Zbl
,[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. | MR | Zbl
,[3 bis] Slopes of Frobenius in crystalline cohomology, Proc. Symp. Pure Math., vol. XXIX (1975), pp. 315-328. | MR | Zbl
,[3 ter] MR
, SGA 6, Exposé V, Lecture Notes in Math., n° 225, Berlin, Springer, 1971. |[4] Classes de Chern en cohomologie cristalline, Comptes Rendus Acad. Sc. Paris, t. 270 (1970), pp. 1695-1697, 1750-1752. | MR | Zbl
and ,[5] K2 and algebraic cycles, Annals of Math., vol. 99 (1974), pp. 349-379. | MR | Zbl
,[6] On the tangent space to Quillen K-theory, Algebraic K-theory I, Lecture Notes in Math., n° 341, Berlin, Springer, 1973. | MR | Zbl
,[7]
, private correspondence.[8] Groupes formels associés aux anneaux de Witt généralisés, Comptes rendus Acad. Sc. Paris, t. 265 (1967), pp. 50-52. | MR | Zbl
,[9] Modules associés à un groupe formel commutatif. Courbes typiques, Comptes rendus Acad. Sc. Paris, t. 265 (1967), pp. 129-132. | MR | Zbl
,[10] Relèvements des groupes formels commutatifs, Séminaire Bourbaki, n° 359 (1968-1969) ; Lecture Notes in Math., n° 179, Berlin, Springer, 1971. | Numdam | Zbl
,[11] Questions de rationalité des diviseurs en géométrie algébrique, Bull. Soc. Math. France, 86 (1958), pp. 177-251. | Numdam | MR | Zbl
,[12] Lectures on p-divisible groups, Lecture Notes in Math., n° 302, Berlin, Springer, 1972. | MR | Zbl
,[13] Homologie nicht-additiver Functoren. Anwendungen, Ann. Inst. Fourier, 11 (1961), pp. 201-312. | Numdam | MR | Zbl
and ,[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. | MR | Zbl
,[17] MR
, S.G.A. VI, Exposé o, Lecture Notes in Math., n° 225, Berlin, Springer, 1971. |[18] Classes de Chern et représentations linéaires des groupes discrets, in Dix exposés sur la cohomologie des schémas, Amsterdam, North Holland, 1968. | MR | Zbl
,[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. | MR | Zbl
,[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. | MR | Zbl
,[23 bis] Frobenius and the Hodge filtration, Bull. A.M.S., 78 (1972), pp. 653-667. | MR | Zbl
,[24] Higher Algebraic K-theory I, Algebraic K-theory I, Lecture Notes in Math., n° 341, Berlin, Springer, 1973. | MR | Zbl
,[25] Sur la topologie des variétés algébriques en charactéristique p, Symposium Internacional de Topologia Algebraica, Mexico (1958), pp. 24-53. | MR | Zbl
,[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. | MR | Zbl
,[28] K2 of discrete valuation rings (to appear).
and ,[29]
, private correspondence.[30] Introduction to Algebraic K-theory, Annals of Math. Studies, n° 72, Princeton University Press, 1971. | MR | Zbl
,[31] Curves on an Algebraic Surface, Annals of Math. Studies, n° 59, Princeton University Press, 1966. | MR | Zbl
,[32] K-théorie algébrique et représentations de groupes, thèse, Université Louis-Pasteur, Strasbourg, 1975. | MR
,[33] Algebraic K-theory, New York, Benjamin, 1968. | MR | Zbl
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