@incollection{MSMF_1986_2_23__61_0, author = {Robba, Philippe}, title = {Une introduction na{\"\i}ve aux cohomologies de {Dwork}}, booktitle = {Introductions aux cohomologies $p$-adiques}, editor = {Barsky, Daniel and Robba, Philippe}, series = {M\'emoires de la Soci\'et\'e Math\'ematique de France}, pages = {61--105}, publisher = {Soci\'et\'e math\'ematique de France}, number = {23}, year = {1986}, doi = {10.24033/msmf.325}, mrnumber = {88a:14023}, zbl = {0623.14005}, url = {http://www.numdam.org/articles/10.24033/msmf.325/} }
TY - CHAP AU - Robba, Philippe TI - Une introduction naïve aux cohomologies de Dwork BT - Introductions aux cohomologies $p$-adiques AU - Collectif ED - Barsky, Daniel ED - Robba, Philippe T3 - Mémoires de la Société Mathématique de France PY - 1986 SP - 61 EP - 105 IS - 23 PB - Société mathématique de France UR - http://www.numdam.org/articles/10.24033/msmf.325/ DO - 10.24033/msmf.325 ID - MSMF_1986_2_23__61_0 ER -
%0 Book Section %A Robba, Philippe %T Une introduction naïve aux cohomologies de Dwork %B Introductions aux cohomologies $p$-adiques %A Collectif %E Barsky, Daniel %E Robba, Philippe %S Mémoires de la Société Mathématique de France %D 1986 %P 61-105 %N 23 %I Société mathématique de France %U http://www.numdam.org/articles/10.24033/msmf.325/ %R 10.24033/msmf.325 %F MSMF_1986_2_23__61_0
Robba, Philippe. Une introduction naïve aux cohomologies de Dwork, dans Introductions aux cohomologies $p$-adiques, Mémoires de la Société Mathématique de France, Série 2, no. 23 (1986), pp. 61-105. doi : 10.24033/msmf.325. http://www.numdam.org/articles/10.24033/msmf.325/
[Ad 1] A p-adic theory of Hecke polynomials. Duke Math. J. 43 (1976), 115-145. | MR | Zbl
-[Ad 2] On the mod p eigenvalues of Hecke operators. Duke Math. J. 43 (1976), 109-114. | MR | Zbl
-[Ad 3] An index theorem for p-adic differential operators. Trans. Amer. Math. Soc. 216 (1976), 279-293. | MR | Zbl
-[Ad 4] The Up-operator of Atkin on modular functions of level three. I11. J. of Math. 24 (1980), 49-59. | MR | Zbl
-[A-S 1] Exponential sums on the complement of a hypersurface. Amer. J. Math. 102 (1980), 461-487. | MR | Zbl
, -[A-S 2] Twisted Kloosterman sums and p-adic Bessel functions. Amer. J. Math. 106 (1984), 549-591. | MR | Zbl
, -[A-S 3] Character sums in finite fields. Comp. Math. 52 (1984), 325-354. | Numdam | MR | Zbl
, -[Ba 1] Higher p-adic Gamma functions and Dwork cohomology. Astérisque, 119-120 (1984), 111-128. | Numdam | Zbl
-[Ba 2] Cohomologie -adique pour la fonction , Astérisque, 119-120 (1984), 51-110. | Numdam | Zbl
-[Bo 1] On exponential sums in finite fields. Amer. J. Math. 88 (1966), 71-105. | MR | Zbl
-[Bo 2] On exponential sums in finite fields II. Invent. Math. 47 (1978), 29-39. | MR | Zbl
-[By 1] p-adic Gamma functions and Dwork cohomology. Trans. Amer. Math. Soc. 257 (1980), 359-369. | MR | Zbl
-[By 2] The Reich trace formula. Astérisque 119-120 (1984), 129-150 | Numdam | MR | Zbl
-[Ch 1] Systèmes fifférentiels linéaires p-adiques : Structure de Frobenius faible. Bull. Soc. Math. France 109 (1981), 83-122. | Numdam | MR | Zbl
-[Ch 2] Un théorème de transfert pour les disques singuliers réguliers. Astérisque, 119-120 (1984), 151-168. | Numdam | MR | Zbl
-[Dw 1] On the rationality of the zeta function of an algebraic variety. Amer. J. Math. 82 (1960), 631-648. | MR | Zbl
-[Dw 2] On the congruence properties of the zeta function of algebraic variety. J. Reine Angew. Math. 203 (1960), 130-142. | MR | Zbl
-[Dw 3] A deformation theory for the zeta function of a hypersurface. Proc. Int. Cong. Math. (1962), 247-259. | Zbl
-[Dw 4] On the zeta function of a hypersurface. Pub. Math. I.H.E.S. 12 (1962), 5-68. | Numdam | MR | Zbl
-[Dw 5] On the zeta function of a hypersurface II. Ann. of Math. 80 (1964), 227-299. | MR | Zbl
-[Dw 6] On the zeta function of a hypersurface III. Ann. of Math. 83 (1966), 457-519. | MR | Zbl
-[Dw 7] On the rationality of zeta functions and L-series. Proc. Conf. Local Fields, Driebergen 1966, Springer-Verlag 1967, 40-55. | MR | Zbl
-[Dw 8] On the zeta function of a hypersurface IV : a deformation theory for singular hypersurface. Ann. of Math. 90 (1969), 335-352. | MR | Zbl
-[Dw 9] p-adic cycles. Pub. Math. I.H.E.S. 37 (1969), 27-116. | Numdam | MR | Zbl
-[Dw 10] On Hecke polynomials. Inv. Math. 12 (1971), 249-256. | MR | Zbl
-[Dw 11] Normalized period matrices I. Ann. of Math. 94 (1971) 337-388 | MR | Zbl
-[Dw 12] The Up operator of Atkin on moduoar functions of level 2 with growth conditions. Proc. of the Summer Institute on Modular forms (1972), Antwerp. | Zbl
-[Dw 13] Normalized period matrices II. Ann. of Math. 98 (1973), 1-57. | MR | Zbl
-[Dw 14] On p-adic differential equations I. Bull. Soc. Math. France, Mémoire 39-40 (1974), 27-37. | Numdam | Zbl
-[Dw 15] On p-adic differential equations IV. Ann. Sc. ENS 6 (1973), 295-316. | Numdam | MR | Zbl
-[Dw 16] Bessel functions as p-adic functions of their argument. Duke Math. J. 41 (1974), 711-738. | MR | Zbl
-[Dw 17] Lectures on p-adic differential equations GL 253 (1983), Springer-Verlag. | Zbl
-[Dw 18] On the Boyarsky principle. Amer. J. of Math. 105 (1983) 115-156. | MR | Zbl
-[Dw 19] On Kummer's twenty-four solutions of the hypergeometric differential equation. Trans. Amer. Math. Soc. (to appear). | Zbl
-[Dw 20] On p-adic analysis. Some recent advances in the basic sciences vol. 2 (Proc. Annual Sc. Conf.). Belfer graduate school of Sciences, Yeshiva University, N.Y. (1969), 129-154. | MR
-[G-K] Gauss sums and the p-adic Gamma function. Ann. of Math. 109 (1979), 569-581. | MR | Zbl
, -[Gr] Théorie de Fredholm p-adique. Bull. Soc. Math. France 94 (1966), 67-95. | Numdam | MR | Zbl
-[He] A p-adic theory of hypergeometric differential équations. Princeton thesis 1982.
-[Ka 1] On the differential equations satisfied by period matrices. Pub. Math. I.H.E.S. 35 (1968), 71-106. | Numdam | MR | Zbl
-[Ka 2] On a theorem of Ax. Amer. J. of Math. 93 (1971), 485-499. | MR | Zbl
-[Ka 3] Travaux de Dwork. Séminaire Bourbaki 1971-1972, exposé 409 (Lecture Notes in Math. 340, 1973, Springer-Verlag). | Numdam | Zbl
-[Ka 4] Crystalline cohomology, Dieudonné modules and Jacobi sums. Automorphic forms, Representation theory an Arithmetic. Tata Inst., Bombay 1979, 165-246. | MR | Zbl
-[Ko 1] p-adic numbers, p-adic analysis and zeta function. Springer-Verlag, 1977. | MR | Zbl
-[Ko 2] p-adic analysis : a short course on recent work. London Math. Soc., Lecture Notes series 46. | MR | Zbl
-[La] Cyclotomic fields II, GIM 69. Springer-Verlay 1980. | MR | Zbl
-[Lu] A p-adic proof of Weil's conjectures. Ann. of Math. 87 (1968), 105-194 ; ibid 87 (1968), 195-225. | MR | Zbl
-[Mo 1] Formal cohomology III, fixed point theorems. Ann. of Math. 93 (1971), 315-343. | MR | Zbl
-[Mo 2] p-adic analysis and zeta functions. Lectures in Mathematics, Kyoto University, Kinokuniya bookstore, Tokyo | Zbl
-[M-W 1] Formal cohomology I. Ann. of Math. 88 (1968), 181-217. | MR | Zbl
, -[M-W 2] Formal cohomology II. Ann. of Math. 88 (1968), 218-238. | MR | Zbl
, -[Re] A p-adic fixed point formula. Amer. J. Math. 91 (1969), 835-850. | MR | Zbl
-[Ro 1] On the index of p-adic differential operators I. Ann. of Math. 101 (1975), 280-316. | MR | Zbl
-[Ro 2] Index of p-adic differential operators III. Application to exponential sums. Astérisque, 119-120 (1984), 191-266. | Numdam | Zbl
-[Ro 3] Indice d'un opérateur différentiel p-adique IV. Cas des systèmes. Ann. Inst. Fourier 35, 2 (1985), 13-55. | Numdam | MR | Zbl
-[Se 1] Rationalité des fonctions zêta des variétés algébriques (d'après B. Dwork). Séminaire Bourbaki, 1959-1960, exposé 198. | Numdam | Zbl
-[Se 2] Endomarphismes complètement continus des espaces de Banach p-adiques. Pub. Math. I.H.E.S. 12 (1962), 69-85. | Numdam | MR | Zbl
-[Sp 1] p-adic hypergeometric functions and their cohomology. Duke Math. J. 44 (1977), 535-589. | MR | Zbl
-[Sp 2] Congruences properties of the hyper-Kloosterman sum. Compositio Math. 40 (1980), 3-33. | Numdam | MR | Zbl
-[Sp 3] On the L-functions associated with certain exponential sums. J. Number Theory 12 (1980), 141-153. | MR | Zbl
-[Sp 4] Newton polygons for general hyper-Kloosterman sums. Astérisque, 119-120 (1984), 267-330. | Numdam | MR | Zbl
-[Sp 5] A p-adic theory of exponential sums. Amer. J. Math. (to appear)
-Cité par Sources :