no. 1
On the de Rham-Witt complex in mixed characteristic
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 37 (2004) no. 1, pp. 1-43. 
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Hesselholt, Lars; Madsen, Ib. On the de Rham-Witt complex in mixed characteristic. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 37 (2004) no. 1, pp. 1-43. doi : 10.1016/j.ansens.2003.06.001. http://www.numdam.org/articles/10.1016/j.ansens.2003.06.001/

[1] Bloch S., Algebraic K-theory and crystalline cohomology, Inst. Hautes Études Sci. Publ. Math. 47 (1977) 187-268. | Numdam | MR | Zbl

[2] Bökstedt M., Hsiang W.-C., Madsen I., The cyclotomic trace and algebraic K-theory of spaces, Invent. Math. 111 (1993) 465-540. | MR | Zbl

[3] Bourbaki N., Commutative Algebra, Chapters 1-7, Elements of Mathematics, Springer-Verlag, Berlin, 1998, Translated from the French. Reprint of the 1989 English translation. | MR | Zbl

[4] Geisser T., Hesselholt L., The de Rham-Witt complex and p-adic vanishing cycles, Preprint, 2003. | MR

[5] Geisser T., Hesselholt L., Topological cyclic homology of schemes, in: K-Theory (Seattle, 1997), Proc. Symp. Pure Math., vol. 67, 1999, pp. 41-87. | MR | Zbl

[6] Grothendieck A., Éléments de géométrie algébrique. IV. Étude locale des schémas et des morphismes de schémas (Quatrième Partie), Inst. Hautes Études Sci. Publ. Math. 32 (1967). | Numdam | MR | Zbl

[7] Grothendieck A., Cohomologie χ-adique et fonctions L, Lecture Notes in Math., vol. 589, Springer-Verlag, 1977.

[8] Hesselholt L., On the p-typical curves in Quillen's K-theory, Acta Math. 177 (1997) 1-53. | MR | Zbl

[9] Hesselholt L., Madsen I., On the K-theory of local fields, Ann. of Math. 158 (2003) 1-113. | MR | Zbl

[10] Hesselholt L., Madsen I., On the K-theory of finite algebras over Witt vectors of perfect fields, Topology 36 (1997) 29-102. | MR | Zbl

[11] Hovey M., Shipley B., Smith J., Symmetric spectra, J. Amer. Math. Soc. 13 (2000) 149-208. | MR | Zbl

[12] Hyodo O., Kato K., Semi-stable reduction and crystalline cohomology with logarithmic poles, in: Périodes p-adiques (Bures-sur-Yvette, 1988), Astérisque, vol. 223, 1994, pp. 221-268. | Numdam | MR | Zbl

[13] Illusie L., Complexe de de Rham-Witt et cohomologie cristalline, Ann. Sci. École Norm. Sup. 12 (4) (1979) 501-661. | Numdam | MR | Zbl

[14] Kato K., Logarithmic structures of Fontaine-Illusie, in: Algebraic Analysis, Geometry, and Number Theory, Proceedings of the JAMI Inaugural Conference (Baltimore, 1988), Johns Hopkins Univ. Press, Baltimore, MD, 1989, pp. 191-224. | MR | Zbl

[15] Langer A., Zink T., De Rham-Witt cohomology for a proper and smooth morphism, Preprint 2001, Universität Bielefeld. | MR

[16] Lewis L.G., May J.P., Steinberger M., Equivariant Stable Homotopy Theory, Lecture Notes in Math., vol. 1213, Springer-Verlag, 1986. | MR | Zbl

[17] Loday J.-L., Cyclic Homology, Grundlehren der mathematischen Wissenschaften, vol. 301, Springer-Verlag, 1992. | MR | Zbl

[18] Maclane S., Categories for the Working Mathematician, Graduate Texts in Mathematics, vol. 5, Springer-Verlag, 1971. | MR | Zbl

[19] Madsen I., Algebraic K-theory and traces, in: Current Developments in Mathematics, 1995, International Press, Cambridge, MA, 1996, pp. 191-321. | MR | Zbl

[20] Mandell M.A., May J.P., Equivariant orthogonal spectra and S-modules, Mem. Amer. Math. Soc. 159 (2002). | MR | Zbl

[21] Matsumura H., Commutative Ring Theory, Cambridge Studies in Advanced Mathematics, vol. 8, Cambridge University Press, 1986. | MR | Zbl

[22] May J.P., Simplicial Objects in Algebraic Topology, Chicago Lectures in Mathematics, University of Chicago Press, Chicago, IL, 1992, Reprint of the 1967 original. | MR | Zbl

[23] Mumford D., Lectures on Curves on an Algebraic Surface, Annals of Mathematics Studies, vol. 59, Princeton University Press, Princeton, NJ, 1966. | MR | Zbl

[24] Rognes J., Topological cyclic homology of the integers at two, J. Pure Appl. Algebra 134 (1999) 219-286. | MR | Zbl

[25] Tom Dieck T., Orbittypen und äquivariante Homologie II, Arch. Math. (Basel) 26 (1975) 650-662. | MR | Zbl

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