Travaux de Dwork

Nicholas Katz

Séminaire Bourbaki (1971-1972)

  • Volume: 14, page 167-200
  • ISSN: 0303-1179

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Katz, Nicholas. "Travaux de Dwork." Séminaire Bourbaki 14 (1971-1972): 167-200. <http://eudml.org/doc/109810>.

@article{Katz1971-1972,
author = {Katz, Nicholas},
journal = {Séminaire Bourbaki},
language = {fre},
pages = {167-200},
publisher = {Springer-Verlag},
title = {Travaux de Dwork},
url = {http://eudml.org/doc/109810},
volume = {14},
year = {1971-1972},
}

TY - JOUR
AU - Katz, Nicholas
TI - Travaux de Dwork
JO - Séminaire Bourbaki
PY - 1971-1972
PB - Springer-Verlag
VL - 14
SP - 167
EP - 200
LA - fre
UR - http://eudml.org/doc/109810
ER -

References

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  1. 1 . P. Berthelot - A Series of notes in C.R. Acad. Sci. Paris Série A, t. 269, pp. 297-300, 357-360, 397-400, t. 272, pp. 42-45, 141-144, 254-257, 1314-1317, 1397-1400, 1574-1577. 
  2. 2. P. Berthelot - Thèse, Paris VII, 1972. 
  3. 3. B. Dwork - Norm Residue Symbol in Local Number Fields, Abh. Math. Sem. Univ. Hamburg, 22 (1958), pp. 180-190. Zbl0083.26001MR98079
  4. 4 B. Dwork - On the Rationality of the Zeta Function of an Algebraic Vairety, Amer. J. Math, 82 (1960), pp.631-648. Zbl0173.48501MR140494
  5. 5 B. Dwork - On the zeta function a hypersurface, Pub. Math. IHES12, Paris1962, pp.5-68. Zbl0173.48601MR159823
  6. 6 B. Dwork - A deformation theory for the zeta function of a hypersurface, Proc. Int'l Cong. Math. Stockholm, 1962, pp. 247-259. Zbl0196.53302MR175895
  7. 7 B. Dwork - On the zeta function of a hypersurface II, Annals of Math.80 (1964), pp. 227-299. Zbl0173.48601MR188215
  8. 8. B. Dwork - On the rationality of zeta functions and L-series, Proc. of a Conf. on Local Fields, held at Driebergen, 1966. Springer-Verlag, 1967, pp. 40-55. Zbl0205.50901MR289520
  9. 9. B. Dwork - P-adic Cycles, Publ. Math. IHES37, Paris, 1969, pp. 27-116 Zbl0284.14008MR294346
  10. 10. B. Dwork - On Hecke Polynomials, Inventiones Math.12(1971), pp. 249-256. Zbl0219.14014MR302591
  11. 11. B. Dwork - Normalized Period Matrices. Annals of Math.94 (1971), pp. 337-388. Zbl0241.14011MR396579
  12. 12. B. Dwork - Normalized Period Matrices II, to appear in Annals, of Math. Zbl0265.14008MR396580
  13. 12 a. B. . Dwork - p-adic Analysis and Geometry Seminar at IHES, Fall 1971. 
  14. 13. A. Grothendieck - Formule de Lefschetz et Rationalité des fonctions L , Séminaire Bourbaki, exposé 279. 1964/65. Zbl0199.24802MR219538
  15. 14. N. Katz - On the Differential Equations Satisfied by Period Matrices, Pub. Math. IHES35, Paris, 1968, pp. 71-106. Zbl0159.22502MR242841
  16. 15. N. Katz - On the Intersection Matrix of a hypersurfaceAnn. Sci. E.N.S., 4e série, t.2, fasc.4, 1969, pp. 583-598. Zbl0187.42802MR276246
  17. 16. N. Katz - Introduction aux travaux récents de Dwork, IHES multigraph, 1969. 
  18. 17. N. Katz - On a theorem of Ax. Amer. J. Math.93, (1971), pp. 485-499. Zbl0237.12012MR288099
  19. 18. J. Lubin - J.P. Serre, - J. Tate : Elliptic Curves and Formal Groups, Woods Hole Summer Institue, 1964 (miméographed notes). 
  20. 19. J. Manin - Theory of Commutative formal groups over fields of finite characteristic. Russian Math. Surveys18, n°6 (1963). Zbl0128.15603MR157972
  21. 20. B. Mazur - "Frobenius and the Hodge filtration" Univ. of Warwick mimeographed notes, 1971. MR330169
  22. 21. B. Mazur - and W. Messing - work in preparation. 
  23. 22. W. Messing - The Crystals associated to Barsotti-Tate groups, with application to Abelian schemes.Thesis, Princeton, Univ.1971 MR347836
  24. 23. P. Monsky and G. Washnitzer - Formal Cohomology I. Annals of Math.88 (1968), pp. 181-217. Zbl0162.52504MR248141
  25. 24. P. Monsky - Formal Cohomology II, III ; Annals of Math.88 (1968), pp. 218-238, and 93 (1971), pp. 315-343? Zbl0162.52601
  26. 25. D. Reich - A p-adic fixed point formula, Amer. J. Math91 (1969), pp. 835-850. Zbl0213.47502MR255549
  27. 26. J.P. Serre - Zeta and L functions, in Arithmetic Algebraic Geometry, ed. Schilling, Harper and Row, New York, 1965, pp. 82-92. Zbl0171.19602MR194396
  28. 27. J. Tate - Rigid Analytic Spaces, Inventiones Math.12 (1971), pp. 257-289. Zbl0212.25601MR306196

Citations in EuDML Documents

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  1. B. M. Dwork, On p -adic differential equations. The Frobenius structure of differential equations
  2. Bernard Dwork, Differential equations which come from geometry
  3. Yves Andre, Équations différentielles p -adiques et dégénérescence de groupes de Hodge
  4. Marius van der Put, The cohomology of Monsky and Washnitzer
  5. Pierre Berthelot, Géométrie rigide et cohomologie des variétés algébriques de caractéristique p
  6. Richard Crew, Kloosterman sums and monodromy of a p -adic hypergeometric equation
  7. Robert F. Coleman, Classical and overconvergent modular forms
  8. Pierre Berthelot, Géométrie rigide et cohomologie des variétés algébriques de caractéristique p
  9. Ellen E. Eischen, p -adic Differential Operators on Automorphic Forms on Unitary Groups
  10. B. Dwork, S. Sperber, Logarithmic decay and overconvergence of the unit root and associated zeta functions

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