@article{ASENS_2004_4_37_1_1_0, author = {Hesselholt, Lars and Madsen, Ib}, title = {On the de {Rham-Witt} complex in mixed characteristic}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {1--43}, publisher = {Elsevier}, volume = {Ser. 4, 37}, number = {1}, year = {2004}, doi = {10.1016/j.ansens.2003.06.001}, zbl = {1062.19003}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.ansens.2003.06.001/} }
TY - JOUR AU - Hesselholt, Lars AU - Madsen, Ib TI - On the de Rham-Witt complex in mixed characteristic JO - Annales scientifiques de l'École Normale Supérieure PY - 2004 SP - 1 EP - 43 VL - 37 IS - 1 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.ansens.2003.06.001/ DO - 10.1016/j.ansens.2003.06.001 LA - en ID - ASENS_2004_4_37_1_1_0 ER -
%0 Journal Article %A Hesselholt, Lars %A Madsen, Ib %T On the de Rham-Witt complex in mixed characteristic %J Annales scientifiques de l'École Normale Supérieure %D 2004 %P 1-43 %V 37 %N 1 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.ansens.2003.06.001/ %R 10.1016/j.ansens.2003.06.001 %G en %F ASENS_2004_4_37_1_1_0
Hesselholt, Lars; Madsen, Ib. On the de Rham-Witt complex in mixed characteristic. Annales scientifiques de l'École Normale Supérieure, Serie 4, Volume 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] Algebraic K-theory and crystalline cohomology, Inst. Hautes Études Sci. Publ. Math. 47 (1977) 187-268. | Numdam | MR | Zbl
,[2] The cyclotomic trace and algebraic K-theory of spaces, Invent. Math. 111 (1993) 465-540. | MR | Zbl
, , ,[3] 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] Topological cyclic homology of schemes, in: K-Theory (Seattle, 1997), Proc. Symp. Pure Math., vol. 67, 1999, pp. 41-87. | MR | Zbl
, ,[6] 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] Cohomologie χ-adique et fonctions L, Lecture Notes in Math., vol. 589, Springer-Verlag, 1977.
,[8] On the p-typical curves in Quillen's K-theory, Acta Math. 177 (1997) 1-53. | MR | Zbl
,[9] On the K-theory of local fields, Ann. of Math. 158 (2003) 1-113. | MR | Zbl
, ,[10] On the K-theory of finite algebras over Witt vectors of perfect fields, Topology 36 (1997) 29-102. | MR | Zbl
, ,[11] Symmetric spectra, J. Amer. Math. Soc. 13 (2000) 149-208. | MR | Zbl
, , ,[12] 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] Complexe de de Rham-Witt et cohomologie cristalline, Ann. Sci. École Norm. Sup. 12 (4) (1979) 501-661. | Numdam | MR | Zbl
,[14] 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] Equivariant Stable Homotopy Theory, Lecture Notes in Math., vol. 1213, Springer-Verlag, 1986. | MR | Zbl
, , ,[17] Cyclic Homology, Grundlehren der mathematischen Wissenschaften, vol. 301, Springer-Verlag, 1992. | MR | Zbl
,[18] Categories for the Working Mathematician, Graduate Texts in Mathematics, vol. 5, Springer-Verlag, 1971. | MR | Zbl
,[19] Algebraic K-theory and traces, in: Current Developments in Mathematics, 1995, International Press, Cambridge, MA, 1996, pp. 191-321. | MR | Zbl
,[20] Equivariant orthogonal spectra and S-modules, Mem. Amer. Math. Soc. 159 (2002). | MR | Zbl
, ,[21] Commutative Ring Theory, Cambridge Studies in Advanced Mathematics, vol. 8, Cambridge University Press, 1986. | MR | Zbl
,[22] Simplicial Objects in Algebraic Topology, Chicago Lectures in Mathematics, University of Chicago Press, Chicago, IL, 1992, Reprint of the 1967 original. | MR | Zbl
,[23] Lectures on Curves on an Algebraic Surface, Annals of Mathematics Studies, vol. 59, Princeton University Press, Princeton, NJ, 1966. | MR | Zbl
,[24] Topological cyclic homology of the integers at two, J. Pure Appl. Algebra 134 (1999) 219-286. | MR | Zbl
,[25] Orbittypen und äquivariante Homologie II, Arch. Math. (Basel) 26 (1975) 650-662. | MR | Zbl
,Cited by Sources: