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Théorèmes de finitude en cohomologie galoisienne

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Commentarii Mathematici Helvetici

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Bibliographie

  1. E. Artin.Algebraic numbers and algebraic functions. New York Univ., 1951 (notes polycopiées).

  2. A. Borel.Arithmetic properties of algebraic groups. Cong. Inter., Stockholm, 1962, p. 10–22.

  3. A. Borel,Some finiteness properties of adele groups over number fields, Publ. Math. Inst. Hautes Etudes Sci., no 16, 1963, p. 5–30.

    MathSciNet  Google Scholar 

  4. A. Borel andHarish-Chandra,Arithmetic subgroups of algebraic groups. Annals of Maths.,75, 1962, p. 485–535.

    Article  MathSciNet  Google Scholar 

  5. C. Chevalley,Theory of LIE groups. Princeton Math. Ser., no 8, 1946.

  6. C. Chevalley.Classification des groupes de LIE algébriques. Séminaire Ecole Normale Sup., 1956–58.

  7. G. Frobenius. Über Beziehungen zwischen den Primidealen eines algebraischen Körpers und den Substitutionen seiner Gruppe. Sitzber. Berlin Akad.,32, 1896, p. 689–705.

    Google Scholar 

  8. A. Grothendieck,A general theory of fibre spaces with structure sheaf. Univ. Kansas, Report no 4, 1955.

  9. A. Grothendieck,Eléments de géométrie algébrique (rédigés avec la collaboration deJ. Dieudoinné). Inst. Hautes Etudes Sci., Publ. Math. 1960-61-62-63-...

  10. A. Grothendieck.Séminaire de géométrie algébrique. Inst. Hautes Etudes Sci., 1960–61.

  11. B. Kostant,The principal three-dimensional subgroup and the BETTI numbers of a complex simple LIE group. Amer. J. of Maths.,81, 1959, p. 973–1032.

    Article  MATH  MathSciNet  Google Scholar 

  12. S. Lang,Algebraic groups over finite fields. Amer. J. of Maths.,78, 1956, p. 555–563.

    Article  MATH  Google Scholar 

  13. S. Lang andJ. Tate.Principal homogenenous spaces over abelian varieties. Amer. J. of Maths.,80, 1958, p. 659–684.

    Article  MATH  MathSciNet  Google Scholar 

  14. G. Mostow,Fully reducible subgroups of algebraic groups. Amer. J. of Maths.,78, 1956, p. 200–221.

    Article  MATH  MathSciNet  Google Scholar 

  15. M. Rosenlicht,Some basic theorems on algebraic groups. Amer. J. of Maths.,78, 1956, p. 401–443.

    Article  MATH  MathSciNet  Google Scholar 

  16. M. Rosenlicht,Some rationality questions on algebraic groups. Annali di Mat. Pura Appl.,43, 1957, p. 25–50.

    Article  MATH  MathSciNet  Google Scholar 

  17. J.-P. Serre,Groupes algébriques et corps de classes Act. Sci. Ind.,o 1264, Paris, Hermann, 1959.

    MATH  Google Scholar 

  18. J.-P. Serre,Cohomologie galoisienne des groupes algébriques linéaires. Colloque de Bruxelles, 1962, p. 53–67.

  19. J.-P. Serre,Cohomologie galoisienne. Collège de France, 1963 (notes polycopiées).

  20. A. Weil,Variétés abéliennes et courbes algébriques, Act. Sci. Ind., no 1064, Paris, Hermann, 1948.

    MATH  Google Scholar 

  21. A. Weil,Adeles and algebraic groups. Inst. Adv. Study, 1961 (notes polycopiées rédigées parM. Demazure etT. Ono).

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Authors
  1. A. Borel
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  2. J. -P. Serre
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Additional information

A Georges de Rham,à l’occasion de son soixantième anniversaire

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Borel, A., Serre, J.P. Théorèmes de finitude en cohomologie galoisienne. Commentarii Mathematici Helvetici 39, 111–164 (1964). https://doi.org/10.1007/BF02566948

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