@article{ASENS_1985_4_18_2_245_0, author = {Katz, Nicholas M.}, title = {Internal reconstruction of unit-root $F$-crystals via expansion-coefficients. {With} an appendix by {Luc} {Illusie}}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {245--285}, publisher = {Elsevier}, volume = {Ser. 4, 18}, number = {2}, year = {1985}, doi = {10.24033/asens.1490}, mrnumber = {87a:14019}, zbl = {0592.14021}, language = {en}, url = {http://archive.numdam.org/articles/10.24033/asens.1490/} }
TY - JOUR AU - Katz, Nicholas M. TI - Internal reconstruction of unit-root $F$-crystals via expansion-coefficients. With an appendix by Luc Illusie JO - Annales scientifiques de l'École Normale Supérieure PY - 1985 SP - 245 EP - 285 VL - 18 IS - 2 PB - Elsevier UR - http://archive.numdam.org/articles/10.24033/asens.1490/ DO - 10.24033/asens.1490 LA - en ID - ASENS_1985_4_18_2_245_0 ER -
%0 Journal Article %A Katz, Nicholas M. %T Internal reconstruction of unit-root $F$-crystals via expansion-coefficients. With an appendix by Luc Illusie %J Annales scientifiques de l'École Normale Supérieure %D 1985 %P 245-285 %V 18 %N 2 %I Elsevier %U http://archive.numdam.org/articles/10.24033/asens.1490/ %R 10.24033/asens.1490 %G en %F ASENS_1985_4_18_2_245_0
Katz, Nicholas M. Internal reconstruction of unit-root $F$-crystals via expansion-coefficients. With an appendix by Luc Illusie. Annales scientifiques de l'École Normale Supérieure, Serie 4, Volume 18 (1985) no. 2, pp. 245-285. doi : 10.24033/asens.1490. http://archive.numdam.org/articles/10.24033/asens.1490/
[B-O] Notes on Crystalline Cohomology, Princeton University Press, 1978. | MR | Zbl
and ,[Cart] Questions de rationalité des diviseurs en géométrie algébrique (Bull. Soc. math. Fr., T. 86, Fasc. III, 1958, pp. 177-251). | Numdam | MR | Zbl
,[Cib] Congruences for Abelian Integrals (Boll. U.M.I., (15), Vol. 18-A, 1981, pp. 431-433). | MR | Zbl
,[Dw-1] A Deformation Theory for the Zeta Function of a Hypersurface (Proc. Int'l Cong. Math., 1962, pp. 247-259). | Zbl
,[Dw-2] P-adic Cycles (Publ. Math. I.H.E.S., Vol. 37, 1970, pp. 27-115). | Numdam | MR | Zbl
,[Dw-3] Normalized Period Matrices (Annals of Math., Vol. 94, 1971, pp. 337-388). | MR | Zbl
,[Ill] Complexe de de Rham-Witt et Cohomologie crystalline (Ann. scient. Éc. Norm. Sup., 4e série, T. 12, 1979, pp. 501-661). | Numdam | MR | Zbl
,[Ill-Ray] Les suites spectrales associées au complexe de de Rham-Witt (Pub. Math. I.H.E.S., Vol. 57, 1983, pp. 73-212). | Numdam | MR | Zbl
, ,[Ka-1] Travaux de Dwork [Séminaire Bourbaki, 1971/1972 (Springer Lecture Notes in Mathematics, No. 317, 1973, pp. 167-200)]. | Numdam | MR | Zbl
,[Ka-2] Slope Filtration of F-Crystals (Astérisque, Vol. 63, 1979, pp. 113-164). | Numdam | MR | Zbl
,[Ka-3] Crystalline Cohomology, Dieudonné Modules and Jacobi Sums, in Automorphic Forms, Representation Theory, and Arithmetic, T.I.F.R., Bombay, January 1979, Springer-Verlag, 1981, pp. 165-246. | MR | Zbl
,[Ka-4] Expansion-Coefficients as Approximate Solutions of Differential Equations [Astérisque (to appear)].
,[Ka-Me] Some Consequences of the Riemann Hypothesis for Varieties Over Finite Fields (Inv. Math., Vol. 23, 1974, pp. 73-77). | MR | Zbl
and ,[Maz-1] Frobenius and the Hodge Filtration (B.A.M.S., Vol. 78, 1972, pp. 653-667). | MR | Zbl
,[Maz-2] Frobenius and the Hodge Filtration-Estimates (Annals of Math., Vol. 88, 1973, pp. 58-95). | MR | Zbl
,[Milne] Duality in the Flat Cohomology of a Surface (Ann. scient. Éc. Norm. Sup., 4e série, T. 9, 1976, pp. 717-202). | Numdam | MR | Zbl
,[Ek] Diagonal Complexes and F-Gauge Structures, in preparation.
,[Ill 1] Finiteness, Duality, and Künneth Theorems in the Cohomology of the De Rham-Witt Complex (in Algebraic Geometry, Tokyo/Kyoto, 1982, Springer Lecture Notes in Mathematics, n° 1016, 1983, p. 20-72). | Zbl
,[Ka 5] Une formule de congruence pour la fonction zêta [SGA 7, Groupes de monodromie en géométrie algébrique, exp. XXII Springer Lecture Notes in Mathematics, n° 340, 1973, p. 401-438). | MR | Zbl
,[Ka 6] International Reconstruction of Unit-Root F-Crystals via Expansion-coefficients, this issue.
,[Ny] Slopes of Powers of Frobenius on Crystalline Cohomology (Ann. scient. Éc. Norm. Sup., 4e série, 1981, p. 369-401). | Numdam | MR | Zbl
,Cited by Sources: