@incollection{MSMF_1986_2_23__R3_0,
author = {Berthelot, Pierre},
title = {G\'eom\'etrie rigide et cohomologie des vari\'et\'es alg\'ebriques de caract\'eristique $p$},
booktitle = {Introductions aux cohomologies $p$-adiques},
editor = {Barsky, Daniel and Robba, Philippe},
series = {M\'emoire de la Soci\'et\'e math\'ematique de France},
pages = {7--32},
year = {1986},
publisher = {Soci\'et\'e math\'ematique de France},
number = {23},
doi = {10.24033/msmf.326},
mrnumber = {88a:14020},
zbl = {0606.14017},
url = {https://www.numdam.org/articles/10.24033/msmf.326/}
}
TY - CHAP AU - Berthelot, Pierre TI - Géométrie rigide et cohomologie des variétés algébriques de caractéristique $p$ BT - Introductions aux cohomologies $p$-adiques AU - Collectif ED - Barsky, Daniel ED - Robba, Philippe T3 - Mémoire de la Société mathématique de France PY - 1986 SP - 7 EP - 32 IS - 23 PB - Société mathématique de France UR - https://www.numdam.org/articles/10.24033/msmf.326/ DO - 10.24033/msmf.326 ID - MSMF_1986_2_23__R3_0 ER -
%0 Book Section %A Berthelot, Pierre %T Géométrie rigide et cohomologie des variétés algébriques de caractéristique $p$ %B Introductions aux cohomologies $p$-adiques %A Collectif %E Barsky, Daniel %E Robba, Philippe %S Mémoire de la Société mathématique de France %D 1986 %P 7-32 %N 23 %I Société mathématique de France %U https://www.numdam.org/articles/10.24033/msmf.326/ %R 10.24033/msmf.326 %F MSMF_1986_2_23__R3_0
Berthelot, Pierre. Géométrie rigide et cohomologie des variétés algébriques de caractéristique $p$, dans Introductions aux cohomologies $p$-adiques, Mémoire de la Société mathématique de France, Nouvelle série, no. 23 (1986), pp. 7-32. doi: 10.24033/msmf.326
[1] , , Twisted Kloosterman sums and p-adic Bessel functions, Amer. Journ. of Math. 106, n° 3, 549-592 (1984). | Zbl | MR
[2] , Cohomologie cristalline des schémas de caractéristique p > 0, Lecture Notes in Math. 407, Springer Verlag (1974). | Zbl | MR
[3] , Cohomologie rigide et théorie de Dwork: le cas des sommes exponentielles, Astérisque 119-120, 17-49 (1984). | Zbl | MR | Numdam
[3 a] , Cohomologie rigide et cohomologie rigide à support propre, en préparation.
[4] , , Notes on crystalline cohomology, Math. Notes 21, Princeton Univ. Press (1978). | Zbl | MR
[5] , , F-isocrystals and De Rham cohomology I, Inventiones Math. 72, 159-199 (1983). | Zbl | MR
[6] , On the zeta function of a hypersurface: II, Annals of Math. 80, n° 2, 227-299 (1964). | MR | Zbl
[7] , On the zeta function of a hypersurface: III, Annals of Math. 83, n° 3, 457-519 (1966). | MR | Zbl
[8] , On the zeta function of a hypersurface : IV. A deformation theory for singular hypersurfaces, Annals of Math. 90, n° 2, 335-352 (1969). | Zbl | MR
[9] , p-adic cycles, Publ. Math. I.H.E.S. 37, 27-115 (1969). | Zbl | MR | Numdam
[10] , Bessel functions as p-adic functions of the argument, Duke Math. Journ. 41, 711-738 (1974). | Zbl | MR
[11] , Solutions d'équations à coefficients dans un anneau hensélien, Ann. Scient. Ec. Norm. Sup., 6, n° 4, 553-604 (1973). | Zbl | MR | Numdam
[12] , , Géométrie analytique rigide et applications, Progress in Math. 18, Birkhäuser (1981). | Zbl | MR
[13] , , Schottky groups and Mumford curves, Lecture Notes in Math. 817, Springer Verlag (1981). | Zbl | MR
[14] , On the De Rham cohomology of algebraic varieties, Publ. Math. I.H.E.S. 45, 5-99 (1976). | Zbl | MR | Numdam
[15] , Report on crystalline cohomology, Proc. of Symp. in pure Math. 29, 459-478 (1975). | Zbl | MR
[16] , Complexe de De Rham-Witt, Astérisque 63, 83-112 (1979). | Zbl | MR | Numdam
[17] , Complexe de De Rham-Witt et cohomologie cristalline, Ann. Scient. Ec. Norm. Sup. 12, 501-661 (1979). | Zbl | MR | Numdam
[18] , , Les suites spectrales associées au complexe de De Rham-Witt, Publ. Math. I.H.E.S. 57, 73-212 (1983). | Zbl | MR | Numdam
[19] , Finiteness, duality, and Künneth theorems in the cohomology of the De Rham-Witt complex, in "Algebraic Geometry", Lecture Notes in Math. 1016, 20-72 (1983). | Zbl | MR
[20] , Travaux de Dwork, Séminaire Bourbaki 1971-72, exposé 409, Lecture Notes in Math. 317, 167-200, Springer Verlag (1973). | Zbl | MR | Numdam
[21] , Theorem A und Theorem B in der nichtarchimedischen Funktionentheorie, Inventiones Math. 2, 256-273 (1967). | Zbl | MR
[22] , Finite generation of lifted p-adic homology with compact supports, Journ. of Number Theory 11, 412-464 (1979). | Zbl | MR
[23] , , Formal cohomology: I, Annals of Math. 88, 181-217 (1968). | Zbl | MR
[24] , Formal cohomology : II, Annals of Math. 88, 218-238 (1968). | Zbl
[25] , Formal cohomology : III. Fixed point theorems, Annals of Math. 93, 315-343 (1971). | Zbl | MR
[26] , F-isocrystals and De Rham cohomology II, Duke Math. Journal 51, n° 4, p. 765-850 (1984). | Zbl | MR
[27] , Géométrie analytique rigide, Bull. Soc. Math. France, Mémoire 39, 40, 319-327 (1974). | Zbl | MR | Numdam
[28] , Index of p-adic differential operators: III. Application to twisted exponential sums, Astérisque 119-120, p. 191-266 (1984). | Zbl | MR | Numdam
[29] , p-adic hypergeometric functions and their cohomology, Duke Math. Journ. 44, 535-589 (1977). | Zbl | MR
[30] , Congruence properties of the hyperkloosterman sum, Compositio Mathematica 40, 3-33 (1980). | Zbl | MR | Numdam
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