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Quaternionic modules over ℙ2 (ℝ)

  • M.-A. Knus
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 917)

Keywords

Chern Class Projective Module Division Ring Hermitian Structure Projective Ideal 
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]
    M. Auslander and O. Goldman, Maximal orders, Trans Amer. Math. Soc. 97 (1960), 1–24MathSciNetCrossRefzbMATHGoogle Scholar
  2. [2]
    M. Auslander and O. Goldman, The Brauer group of a commutative ring, Trans. Amer. Math. Soc. 97 (1960), 367–409MathSciNetCrossRefzbMATHGoogle Scholar
  3. [3]
    W. Barth, Moduli of vector bundles on the projective plane. Inventiones Math. 42 (1977), 63–91MathSciNetCrossRefzbMATHGoogle Scholar
  4. [4]
    J.-L. Colliot-Thélène et J.-J. Sansuc, Fibrés quadratiques et composantes connexes réelles, Math. Ann. 244, (1979), 105–134MathSciNetCrossRefzbMATHGoogle Scholar
  5. [5]
    M.-A. Knus and M. Ojanguren, Modules and quadratic forms over polynomial algebras. Proc. Amer. Math. Soc. 66 (1977), 223–226MathSciNetCrossRefzbMATHGoogle Scholar
  6. [6]
    M.-A. Knus, M. Ojanguren and R. Parimala, Positive definite qua-quadratic bundles over the projective plane, Preprint, 1981Google Scholar
  7. [7]
    M.-A. Knus, M. Ojanguren and R. Sridharan, Quadratic forms and Azumaya algebras, J. Reine Angew. Math. 303/304 (1978), 231–248MathSciNetzbMATHGoogle Scholar
  8. [8]
    M.-A. Knus and R. Parimala, Quadratic forms associated with projective modules over quaternion algebras, J. Reine Angew. Math. 318 (1980), 20–31MathSciNetzbMATHGoogle Scholar
  9. [9]
    M.-A. Knus, R. Parimala and R. Sridharan, Non-free projective modules over H[x,y] and stable bundles over ℙ2 (C), Inventiones Math.Google Scholar
  10. [10]
    J. S. Milne, Etale Cohomology, Princeton University Press, 1980, PrincetonzbMATHGoogle Scholar
  11. [11]
    M. Ojanguren, R. Parimala and R. Sridharan, Indecomposable quadratic bundles of rank 4n over the real affine plane, Preprint, 1981Google Scholar
  12. [12]
    M. Ojanguren and R. Sridharan, Cancellation of Azumaya algebras, J. Algebra 18 (1971), 501–505MathSciNetCrossRefzbMATHGoogle Scholar
  13. [13]
    R. Parimala and R. Sridharan, Projective modules over polynomial rings over division rings, J. Math. Kyoto Univ. 15 (1975), 129–148MathSciNetzbMATHGoogle Scholar
  14. [14]
    J. T. Stafford, Projective modules of polynomial extensions of division rings, Inventiones Math. 59 (1980), 105–117MathSciNetCrossRefzbMATHGoogle Scholar

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© Springer-Verlag 1982

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  • M.-A. Knus

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