Travaux de Laumon

Nicholas M. Katz

Séminaire Bourbaki (1987-1988)

  • Volume: 30, page 105-132
  • ISSN: 0303-1179

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Katz, Nicholas M.. "Travaux de Laumon." Séminaire Bourbaki 30 (1987-1988): 105-132. <http://eudml.org/doc/110091>.

@article{Katz1987-1988,
author = {Katz, Nicholas M.},
journal = {Séminaire Bourbaki},
keywords = {geometric Fourier transform; -adic étale sheaves; functional equation of the global L-function},
language = {fre},
pages = {105-132},
publisher = {Société Mathématique de France},
title = {Travaux de Laumon},
url = {http://eudml.org/doc/110091},
volume = {30},
year = {1987-1988},
}

TY - JOUR
AU - Katz, Nicholas M.
TI - Travaux de Laumon
JO - Séminaire Bourbaki
PY - 1987-1988
PB - Société Mathématique de France
VL - 30
SP - 105
EP - 132
LA - fre
KW - geometric Fourier transform; -adic étale sheaves; functional equation of the global L-function
UR - http://eudml.org/doc/110091
ER -

References

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  1. [Be] G.V. Belyi - On galois extensions of a maximal cyclotomic field, Math. U.S.S.R. Izv.14 (1980), n°2, 247-256. Zbl0429.12004MR534593
  2. [Br] J.-L. Brylinski - Transformations canoniques, dualité projective, théorie de Lefschetz, transformations de Fourier et sommes trigonométriques, Astérisque140-141 (1986), 3-134. Zbl0624.32009MR864073
  3. [De-1] P. Deligne - Les constantes des équations fonctionelles des fonctions L, in Modular Functions of One Variable II, Springer LNM349 (1973), 55-106. Zbl0271.10032MR349635
  4. [De-2] P. Deligne - La conjecture de Weil II, Pub. Math. I.H.E.S.52 (1981), 313-428. Zbl0456.14014MR601520
  5. [De-3] P. Deligne - letter to D. Kazhdan, November 26, 1976. 
  6. [De-4] P. Deligne - Les constantes des équations fonctionelles des fonctions L, mimeographed notes by L. Illusie, I.H.E.S., 1980 
  7. [Dw] B. Dwork - On the Artin root number, Amer. J. Math.78 (1956), 444-472. Zbl0074.26601MR82476
  8. [Gr] A. Grothendieck - Formule de Lefschetz et rationalité des fonctions L, Seminaire Bourbaki 1964-65, n°279, reprinted in Dix Exposés sur la cohomologie des schémas, North-Holland, 1968. Zbl0199.24802
  9. [Ha] H. Hasse - Theorie der relativ-zyklischen algebraischen Funktionenkörper, insbesondere bei endlichen Konstantkorper, J. Reine Angew. Math172 (1934), 37-54. Zbl0010.00501
  10. [Hor] L. Hormander - The analysis of linear partial differential operators I, Springer-Verlag, 1983. Zbl0521.35001
  11. [Ill] L. Illusie - Deligne's l-adic fourier transform, Proceedings of the 1985 AMS Summer Institute in Algebraic Geometry, to appear. 
  12. [Ka-1] N.M. Katz - Local to global extensions of representations of fundamental groups, Ann. Inst. Fourier36, 4 (1986), 59-106. Zbl0564.14013MR867916
  13. [Ka-2] N.M. Katz - Gauss sums, Kloosterman sums, and monodromy groups, Annals of Math. Study116, Princeton Univ. Press, 1988. Zbl0675.14004MR955052
  14. [Ka-3] N.M. Katz - Perversity and exponential sums, special issue of Tohoku Math. J. dedicated to Iwasawa, to appear. Zbl0755.14008MR1097616
  15. [Ka-La] N.M. Katz and G. Laumon - Transformation de Fourier et majoration de sommes exponentielles, Pub. Math. I.H.E.S.62 (1985), 361-418. Zbl0603.14015MR823177
  16. [Lau-1] G. Laumon - Semi-continuité du conducteur de Swan (d'après P. Deligne), in Caractéristique d'Euler-Poincaré, Seminaire E.N.S. 1978-79, Astérisque82-83 (1981), 173-219. Zbl0504.14013MR629128
  17. [Lau-2] G. Laumon - Transformation de Fourier, constantes d'équations fonctionelles et conjecture de Weil, Pub. Math. I.H.E.S.65 (1987), 131-210. Zbl0641.14009MR908218
  18. [Ra] M. Raynaud - Caractéristiques d'Euler'Poincaré d'un faisceau et cohomologie des variétés abéliennes (d'après Ogg-Shafarévitch et Grothendieck), Seminaire Bourbaki 1964-65, n° 286, reprinted in Dix Exposés sur la cohomologie des schémas, North-Holland, 1968. Zbl0204.54301
  19. [Se-1] J.-P. Serre - Sur la rationalité des representations d'Artin, Ann. Math.72 (1960), 406-420. Zbl0202.32803MR171775
  20. [Se-2] J.-P. Serre - Corps Locaux, deuxième éd., Hermann, Paris, 1968. Zbl0137.02601MR354618
  21. [Se-Ta] J.-P. Serre and J. Tate - Good reduction of abelian varieties, Ann. Math.88 (1968),492-517. Zbl0172.46101MR236190
  22. [SGA] A. Grothendieck et al - Séminaire de Géométrie Algébrique du Bois-Marie, SGA 1, SGA 4 Parts I, II, and III, SGA 4½, SGA 5, SGA 7 Parts I and II, Springer LNM 224, 269-270-305, 569, 589, 288-340, 1971 to 1977. 
  23. [Ta-1] J. Tate - Fourier analysis in number fields and Hecke's zeta-functions, Princeton University thesis, 1950, reprinted in Algebraic Number Theory (ed. J.W.S. Cassels and A. Fröhlich), Academic Press (1967), 305-341. MR217026
  24. [Ta-2] J. Tate - Local constants, in Proc. Durham Sympos. on Algebraic Number Theory (ed. A. Fröhlich), Academic Press (1977), 89- 131. Zbl0425.12019MR457408

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