Cohomologies de Dwork, I

Philippe Robba

Groupe de travail d'analyse ultramétrique (1982-1983)

  • Volume: 10, Issue: 1, page 1-10

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Robba, Philippe. "Cohomologies de Dwork, I." Groupe de travail d'analyse ultramétrique 10.1 (1982-1983): 1-10. <http://eudml.org/doc/91902>.

@article{Robba1982-1983,
author = {Robba, Philippe},
journal = {Groupe de travail d'analyse ultramétrique},
keywords = {dimension of p-adic cohomology},
language = {fre},
number = {1},
pages = {1-10},
publisher = {Secrétariat mathématique},
title = {Cohomologies de Dwork, I},
url = {http://eudml.org/doc/91902},
volume = {10},
year = {1982-1983},
}

TY - JOUR
AU - Robba, Philippe
TI - Cohomologies de Dwork, I
JO - Groupe de travail d'analyse ultramétrique
PY - 1982-1983
PB - Secrétariat mathématique
VL - 10
IS - 1
SP - 1
EP - 10
LA - fre
KW - dimension of p-adic cohomology
UR - http://eudml.org/doc/91902
ER -

References

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  1. [AS 1] Adolphson ( A.) and Sperber ( S.). - Exponential sums on the complement of a hypersurface, Amer. J. of Math., t. 102, 1980, p. 461-487. Zbl0444.12016MR573096
  2. [AS 2] Adolphson ( A.) and Sperber ( S.). - Twisted Kloosterman sums and p-adic Bessel functions, Amer. J. of Math. (à paraître). Zbl0552.12010MR745141
  3. [Be] Berthelot ( P.). - Géométrie rigide et cohomologie des variétés algébriques de caractéristique p "Journées d'Analyse p-adique" [1982. Marseille- Luminy], Groupe d'étude d'Analyse ultramétrique, 9e année, 1981/82, n° J2, 18 p. Zbl0515.14015
  4. [Bo] Bombieri ( E.). - On exponential sums in finite fields II, Invent. Math., Berlin, t. 47, 1978, p. 29-39. Zbl0396.14001MR506272
  5. [D 1] Dwork ( B.). - On the rationality of the zeta function of an algebraic variety, Amer. J. of Math., t. 82, 1960, p. 631-648. Zbl0173.48501MR140494
  6. [D 2] Dwork ( B.). - On the zeta function of a hypersurface. - Paris, Presses universitaires de France, 1962 (Institut des hautes Etudes scientifiques, Publications mathématiques, 12, p. 5-68). Zbl0173.48601MR159823
  7. [D 3] Dwork ( B.). - On Hecke polynomials, Invent. Math., Berlin, t. 12, 1971, p. 249-256. Zbl0219.14014MR302591
  8. [D 4] Dwork ( B.). - Bessel functions as p-adic functions of the argument, Duke math. J., t. 41, 1974, p. 711-738. Zbl0302.14008MR387281
  9. [D 5] Dwork ( B.). - Lectures on p-adic differential equations. - New York, Heidelberg, Berlin, Springer-Verlag, 1983 (Grundlehren der mathematischen Wissenschaften, 25). Zbl0502.12021MR678093
  10. [D 6] Dwork ( B.). - On the Boyarsky principle, Amer. J. of Math. (à paraître). Zbl0517.12012MR692108
  11. [GK] Gross ( B.) and Koblitz ( N.). - Gauss sums and the p-adic Γ-function, Annals of Math., Series 2, t. 109, 1979, p. 569-581. Zbl0406.12010
  12. [K] Katz ( N.). - On the differential equations satisfied by period matrices. - Paris, Presses universitaires de France, 1968 (Institut des hautes Etudes scientifiques, Publications mathématiques, 35, p. 71-106). Zbl0159.22502MR242841
  13. [MW] Monsky ( P.) and Washnitzer ( G.). - Formal cohomology I, Annals of Math., Series 2, t. 88, 1968, p. 181-217. Zbl0162.52504MR248141
  14. [M 1] Monsky ( P.). - Formal cohomology II : The cohomology sequence of a pair, Annals of Math., Series 2, t. 88, 1968, p. 218-238. Zbl0162.52601MR244272
  15. [M 2] Monsky ( P.). - Formal cohomology III : Fixed point theorems, Annals of Math., Series 2, t. 93, 1971, p. 315-343. Zbl0213.47501MR321931
  16. [R 1] Robba ( P.). - On the index of differential operators, I, Annals of Math., Series 2, t. 101, 1975, p. 280-316. Zbl0316.12102MR364243
  17. [R 2] Robba ( P.). - On the index of differential operators II, Duke math. J., t. 43, 1976, p. 19-31. Zbl0338.12108MR389910
  18. [R 3] Robba ( P.). - Caractérisation des dérivées logarithmiques, Groupe d'étude d'Analyse ultramétrique, 2e année, 1974/75, n° 12, 6 p. Zbl0344.34006MR572969
  19. [R 4] Robba ( P.). - Structure de Frobenius faible pour les équations différentielles de premier ordre, Groupe d'étude d'Analyse ultramétrique, 2e année, 1974/75, n° 20, 11 p. Zbl0331.12104
  20. [R 5] Robba ( P.). - Index of p-adic differential operators III. Application to twisted exponential sums (à paraître). Zbl0548.12015
  21. [S] Sperber ( S.). - Newton polygons for general hyperkloosterman sums. ( à paraître). Zbl0582.14005

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