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Some examples of vector bundles on the flag variety F(1,2)

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1056)

Keywords

  • Exact Sequence
  • Line Bundle
  • Elliptic Curve
  • Elliptic Curf
  • Normal Bundle

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References

  1. Atiyah, M.F., Hitchin, N. and Singer, I.M.: Self-duality in four-dimensional Riemannian geometry, Proc. R. Soc. London A 362, (1978) 425–461

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. Barth, W.: Some properties of stable rank 2-vector bundles on P n, Math. Ann. 226 (1977)

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  3. Friedrich, T. and Kurke, H.: Compact four-dimensional self-dual Einstein manifolds with positive scalar curvature, Math. Nachr. 106 (1982) 271–299

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. Grothendieck, A., Fondaments de la geometrie algebrique, Paris 1962

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  5. Hartshorne, R., Algebraic geometry, Berlin-Heidelberg-New York 1977

    Google Scholar 

  6. Hirzebruch, F. Topological Methods in Algebraic geometry, Berlin-Heidelberg-New York 1966

    Google Scholar 

  7. Kurke, H., Applications of algebraic geometry to twistor spaces, in Proc. of the Week of Algebraic Geometry, Bucharest 1980, Leipzig 1981

    Google Scholar 

  8. Kurke, H., Vorlesungen über algebraische Flächen, Leipzig 1982

    Google Scholar 

  9. Serre, J.P., Sur les modules projectives, Sem. Dubreil-Pisot 1960/62 Nr 2

    Google Scholar 

  10. Self-dual Riemannian Geometry and Instantons, Ed. by T. Friedrich, Leipzig 1981

    Google Scholar 

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© 1984 Springer-Verlag

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Kurke, H., Theel, H. (1984). Some examples of vector bundles on the flag variety F(1,2). In: Bădescu, L., Popescu, D. (eds) Algebraic Geometry Bucharest 1982. Lecture Notes in Mathematics, vol 1056. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0071774

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  • DOI: https://doi.org/10.1007/BFb0071774

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12930-1

  • Online ISBN: 978-3-540-38811-1

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