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Mathematische Annalen

, Volume 285, Issue 2, pp 309–332 | Cite as

Principal bundles on affine space and bundles on the projective line

  • M. S. Raghunathan
Article

Keywords

Projective Line Principal Bundle Affine Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Bruhat, F., Tits, J.: Groupes réductifs sur un corps local, I, II. Publ. Math.41, 5–251 (1972)Google Scholar
  2. 2.
    Demazure, M., Grothendieck, A.: Schemas en groupes. IHES 1964Google Scholar
  3. 3.
    Grothendieck, A.: Eléments de Géometrie Algébriques. Publ. Math. IHES,11 (1961)Google Scholar
  4. 4.
    Grothendieck, A.: Sur la classification des fibrés holomorphes sur la sphere de Riemann. Am. J. Math.79, 121–138 (1956)Google Scholar
  5. 5.
    Harder, G.: Halbeinfache Gruppenschemate über vollständigen Kurven. Invent. Math.6, 107–149 (1968)Google Scholar
  6. 6.
    Knus, M., Ojanguren, M., Saltman, D.J.: in Brauer Groups (Evanston), pp. 25–29. Berlin, Heidelberg, New York: Springer 1975Google Scholar
  7. 7.
    Knebusch, M.: Grothendieck und Wittringe, von nicht-ansgearteten symmetrischen Bilinearformen. Sitzungsber, d. Heidelb. Akad. Wiss. Math. Naturewiss. Kl.3, 90–157 (1970)Google Scholar
  8. 8.
    Lang, S.: Algebraic groups over finite fields. Am. J. Math.78, 555–563 (1956)Google Scholar
  9. 9.
    Ojanguren, M.: Formes quadratiques sur les algèbres de polynômes. C.R. Acad. Sci. Ser. A287, 695–698 (1978)Google Scholar
  10. 10.
    Ojanguren, M., Sridharan, R.: Cancellation of Azumaya algebras. J. Alg.18, 501–505 (1971)Google Scholar
  11. 11.
    Parimala, S.: Failure of a quadratic analogue of Serre's conjecture. Am. J. Math.100, 913–924 (1978)Google Scholar
  12. 12.
    Parimala, R.: Indecomposable Quadratic spaces over the affine plane. Adv. Math.62, 1–6 (1986)Google Scholar
  13. 13.
    Parimala, S., Sridharan, R.: Projective modules over polynomial rings over division rings. J. Math Kyoto Univ.15, 129–148 (1975)Google Scholar
  14. 14.
    Prasad, G.: Elementary proof of a theorem of Bruhat-Tits and Rousseau and of a theorem of Tits, Bull Soc. Math. Fr.110, 197–202 (1982)Google Scholar
  15. 15.
    Raghunathan, M.S.: Principal bundles on affine space, in: Ramanujan C.P. (ed.) A tribute. Studies of Mathematics, Bombay, TIFR8, 1978Google Scholar
  16. 16.
    Raghunathan M.S., Ramanathan, A.: Principal bundles on the affine line. Proc. Ind. Acad. Sci.93, 137–145 (1984)Google Scholar
  17. 17.
    Ramanathan, A.: Deformations of principal bundles on the projective line. Invent. Math.71, 165–191 (1983)Google Scholar
  18. 18.
    Tits, J.: Algebraic and abstract simple groups. Ann Math.80, 313–329 (1964)Google Scholar
  19. 19.
    Tits, J.: Classification of semisimple algebraic groups, algebraic groups. Proc. Symp. Pure Math. Amer. Math. Soc. (1966)Google Scholar

Copyright information

© Springer-Verlag 1989

Authors and Affiliations

  • M. S. Raghunathan
    • 1
  1. 1.School of MathematicsTata Institute of Fundamental ResearchBombayIndia

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