Algebraic K-theory and crystalline cohomology

M. Artin andB. Mazur,Formal groups arising from algebraic varieties (preprint). M. Artin, Supersingular K-3 surfaces,Annales E.N.S., t.7 (1974), pp. 543–568. P. Berthelot, Notes in theComptes Rendus Acad. Sc. Paris, t.269 (1969), pp. 297–300, 357–360, 397–400; t.272 (1971), pp. 141–144, 1314–1317, 1397–1400. P. Berthelot, Cohomologie Cristalline des Schémas de Caractéristiquep>0,Lecture Notes in Math., no 407, Berlin, Springer, 1974. P. Berthelot, Slopes of Frobenius in crystalline cohomology,Proc. Symp. Pure Math., vol. XXIX (1975), pp. 315–328. P. Berthelot, SGA 6, Exposé V,Lecture Notes in Math., no 225, Berlin, Springer, 1971. P. Berthelot andL. Illusie, Classes de Chern en cohomologie cristalline,Comptes Rendus Acad. Sc. Paris, t.270 (1970), pp. 1695–1697, 1750–1752. S. Bloch, K2 and algebraic cycles,Annals of Math., vol.99 (1974), pp. 349–379. S. Bloch, On the tangent space to Quillen K-theory, Algebraic K-theory I,Lecture Notes in Math., no 341, Berlin, Springer, 1973. K. Brown, private correspondence. P. Cartier, Groupes formels associés aux anneaux de Witt généralisés,Comptes rendus Acad. Sc. Paris, t.265 (1967), pp. 50–52. P. Cartier, Modules associés à un groupe formel commutatif. Courbes typiques,Comptes rendus Acad. Sc. Paris, t.265 (1967), pp. 129–132. P. Cartier, Relèvements des groupes formels commutatifs,Séminaire Bourbaki, no 359 (1968–1969);Lecture Notes in Math., no 179, Berlin, Springer, 1971. P. Cartier, Questions de rationalité des diviseurs en géométrie algébrique,Bull. Soc. Math. France,86 (1958), pp. 177–251. M. Demazure, Lectures onp-divisible groups,Lecture Notes in Math., no 302, Berlin, Springer, 1972. A. Dold andD. Puppe, Homologie nicht-additiver Functoren. Anwendungen,Ann. Inst. Fourier,11 (1961), pp. 201–312. S. Gersten, Higher K-theory of rings; and Some exact sequences in the higher K-theory of rings, Algebraic K-theory I,Lecture Notes in Math., no 341, Berlin, Springer, 1973. S. Gersten,Products in algebraic K-theory (preprint). S. Gersten,The localization theorem for projective modules (preprint). A. Grothendieck, Crystals and the de Rham cohomology of schemes, inDix exposés sur la cohomologie des schémas, Amsterdam, North Holland, 1968. A. Grothendieck, S.G.A. VI, Exposé o,Lecture Notes in Math., no 225, Berlin, Springer, 1971. A. Grothendieck, Classes de Chern et représentations linéaires des groupes discrets, inDix exposés sur la cohomologie des schémas, Amsterdam, North Holland, 1968. A. Grothendieck, S.G.A. IV, Exposé 3,Lecture Notes in Math., no 269, Berlin, Springer, 1972. A. Grothendieck, J. Dieudonné, Éléments de géométrie algébrique,Publ. Math. I.H.E.S.,4, 8, 11, 17, 20, 24, 28, 32 (1957–67). A. Grothendieck, Groupe de Brauer III, inDix exposés sur la cohomologie des schémas, Amsterdam, North Holland, 1968. L. Illusie, letter to Gersten. L. Illusie, Report on Crystalline cohomology,Proc. Symp. Pure Math., vol. XXIV (1975), pp. 459–478. S. Lubkin,Generalization of p-adic cohomology (preprint). J. Manin, The theory of commutative formal groups over fields of finite characteristic, English translation,Russian Math. Surveys,18, 1963. B. Mazur, Frobenius and the Hodge filtration,Bull. A.M.S.,78 (1972), pp. 653–667. D. Quillen, Higher Algebraic K-theory I, Algebraic K-theory I,Lecture Notes in Math., no 341, Berlin, Springer, 1973. J.-P. Serre, Sur la topologie des variétés algébriques en charactéristiquep, Symposium Internacional de Topologia Algebraica, Mexico (1958), pp. 24–53. M. Stein, Surjective stability in dimension o for K2 and related functors,Trans. A.M.S. (to appear). W. Van der Kallen, Le K2 des nombres duaux,Comptes rendus Acad. Sc. Paris, t.273 (1971), 1204–1207. K. Dennis andM. Stein,K 2 of discrete valuation rings (to appear). K. Dennis, private correspondence. J. Milnor, Introduction to Algebraic K-theory,Annals of Math. Studies, no 72, Princeton University Press, 1971. D. Mumford, Curves on an Algebraic Surface,Annals of Math. Studies, no 59, Princeton University Press, 1966. J.-L. Loday,K-théorie algébrique et représentations de groupes, thèse, Université Louis-Pasteur, Strasbourg, 1975. H. Bass,Algebraic K-theory, New York, Benjamin, 1968.