Les groupes formels d'Artin-Mazur et les congruences d'Atkin-Swinnerton-Dyer

Jan Stienstra

Groupe de travail d'analyse ultramétrique (1984-1985)

  • Volume: 12, Issue: 2, page 1-13

How to cite

top

Stienstra, Jan. "Les groupes formels d'Artin-Mazur et les congruences d'Atkin-Swinnerton-Dyer." Groupe de travail d'analyse ultramétrique 12.2 (1984-1985): 1-13. <http://eudml.org/doc/91942>.

@article{Stienstra1984-1985,
author = {Stienstra, Jan},
journal = {Groupe de travail d'analyse ultramétrique},
keywords = {zeta-function; characteristic polynomial of the Frobenius endomorphism},
language = {fre},
number = {2},
pages = {1-13},
publisher = {Secrétariat mathématique},
title = {Les groupes formels d'Artin-Mazur et les congruences d'Atkin-Swinnerton-Dyer},
url = {http://eudml.org/doc/91942},
volume = {12},
year = {1984-1985},
}

TY - JOUR
AU - Stienstra, Jan
TI - Les groupes formels d'Artin-Mazur et les congruences d'Atkin-Swinnerton-Dyer
JO - Groupe de travail d'analyse ultramétrique
PY - 1984-1985
PB - Secrétariat mathématique
VL - 12
IS - 2
SP - 1
EP - 13
LA - fre
KW - zeta-function; characteristic polynomial of the Frobenius endomorphism
UR - http://eudml.org/doc/91942
ER -

References

top
  1. [1] Artin ( M.) and Mazur ( B.). - Forral groups arising from algebraic varieties, Ann. scient. Ec. Norm. Sup., 4e série, t. 10, 1977, p. 87-132. Zbl0351.14023MR457458
  2. [2] Atkin ( A.) and Swinnerton-Dyer ( H.). - Modular forms on non congruence subgroups, "Combinatorics", p. 1-25. - Providence, American mathematical Society, 1971 (Proceedings of Symposia in pure Mathematics, 29). Zbl0235.10015MR337781
  3. [3] Berthelot ( P.) and Ogus ( A.). - Notes on cristalline cohomology. - Princeton, Princeton University Press and University of Tokyo Press, 1978 (Mathematical Notes, 21). Zbl0383.14010MR491705
  4. [4] Bloch ( S.). - Algebraic K-theory and crystalline cohomology. - Paris, Presses universitaires de France, 1977 (Institut des hautes Etudes scientifiques, Publications mathématiques, 47, p. 187-268). Zbl0388.14010MR488288
  5. [5] Cartier ( P.). - Groupes formels associés aux anneaux de Witt généralisés, C. R. Acad. Sc. Paris, t. 265, 1967, série A, p. 49-52 ; Modules associés à un groupe formel commutatif. Courbes typiques, C. R. Acad. Sc. Paris, t. 265, 1967, série.A, p. 129-132. Zbl0168.27501MR218362
  6. [6] Cartier ( P.). - Groupes formels, fonctions automorphes et fonctions zêta des courbes elliptiques, "Actes du Contres International des Mathématiciens [1970. Nice]", vol. 2, p. 291-299. - Paris, Gauthier-Villars, 1971. Zbl0298.14013MR429920
  7. [7] Deligne ( P.). - La conjecture de Weil, I. - Paris, Presses universitaires de France, 1973 (Institut des hautes Etudes scientifiques, Publications mathématiques, 43, p. 273-307). Zbl0287.14001MR340258
  8. [8] Hazewinkel ( M.). - Formal groups and applications. - New York, San Francisco, London, Academic Press, 1978 (Pure and applied Mathematics. Academic Press, 78). Zbl0454.14020MR506881
  9. [9] Eonda ( T.). - On the theory of commutative formal groups, J. of math. Soc. of Japan, t. 22, 1970, p. 213-246. Zbl0202.03101MR255551
  10. [10] Illusie ( L.). - Complexe de De Rham-Witt et cohomologie cristalline, Ann. scient. Ec. Norm. Sup., 4e série, t. 12, 1979, p. 501-661. Zbl0436.14007MR565469
  11. [11] Illusie ( L.). - Complexe de De Rham-Witt, "Journées de géométrie algébrique [1978. Rennes]", Astérisque, t. 63, 1979, p. 83-112. Zbl0446.14008MR563462
  12. [12] Illusie ( L.). - Finiteness, duality and Künneth theorems in the cohomology of the De Rham-Witt complex, "Algebraic geometry [1982. Tokyo/Kyoto]", p. 20-72. Berlin, Heidelberg, New York, Springer-Verlag, 1983 (Lecture Notes in Mathematics, 1016). Zbl0538.14013MR726420
  13. [13] Katz ( N.) and Messing ( W.). - Some consequences of the Riemann hypothesis for varieties over finite fields, Invent. Math., t. 23, 1974, p. 73-77. Zbl0275.14011MR332791
  14. [14] Katz ( N.). - Slope filtration of F-crystals, "Journées de géométrie algébrique [1978. Rennes]", Astérisque, t. 63, 1979, p. 113-163. Zbl0426.14007MR563463
  15. [15] Lazard ( M.). - Commutative formal groups. - Berlin, Heidelberg, New York, Springer-Verlag, 1975 (Lecture Notes in Mathematics, 443). Zbl0304.14027MR393050
  16. [16] Stienstra ( J.) and Beukers ( F.). - On the Picard-Fuchs equation and the formal Brauer group of certain elliptic K3-surfaces, Math. Annalen, t. 271, 1985, p. 269-304. Zbl0539.14006MR783555
  17. [17] Stienstra ( J.). - Formal group laws arising from algebraic varieties (en préparation). 
  18. [18] Tate ( J.). - The arithmetic of elliptic curves, Invent. Math., t. 23, 1974, p. 179-206. Zbl0296.14018MR419359
  19. [19] Zink ( T.). - Cartiertheorie kominutativer formaler Gruppen. - Leipzig, Teubner Verlagsgesellschaft, 1984 (Teubner Texte zur Mathematik, 68). Zbl0578.14039MR767090

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.