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The stability of certain vector bundles on ℙn

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Complex Algebraic Varieties

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1507))

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References

  1. Ancona, V.; Ottaviani G.: On the stability of special instanton bundles on ℙ2n+1. preprint 1990

    Google Scholar 

  2. Donaldson, S.K.: Infinite determinants, stable bundles and curvature. Duke Math. J. 54 (1987), 231–247

    Article  MathSciNet  MATH  Google Scholar 

  3. Evans, E.G.; Griffith, P.: The syzygy problem. Ann. Math. 114 (1981), 323–333

    Article  MathSciNet  MATH  Google Scholar 

  4. Hartshorne R.: Algebraic Geometry. Springer 1977

    Google Scholar 

  5. Hoppe, H. J.: Generischer Spaltungstyp und zweite Chernklasse stabiler Vektorraumbündel vom Rang 4 auf ℙ4. Math.Zeitschr. 187 (1984), 345–360

    Article  MathSciNet  MATH  Google Scholar 

  6. Kobayashi, S.: Differential geometry of complex vector bundles. Princeton Univ. Press 1987.

    Google Scholar 

  7. Lübke, M.: Stability of Einstein-Hermite vector bundles. Manuscr. Math. 42 (1983), 245–257

    Article  MATH  Google Scholar 

  8. Maruyama, M.: The theorem of Grauer-Mülich-Spindler. Math. Ann. 255 (1981), 317–333

    Article  MathSciNet  MATH  Google Scholar 

  9. Okonek, C.; Schneider, M.; Spindler, H.: Vector bundles on complex projective spaces. Progr. in Math. 3, Brikhäuser Boston 1980

    Google Scholar 

  10. Schwarzenberger, R.L.E.: Vector bundles on the projective plane. Proc. London Math. Soc. 11 (1961), 623–640

    Article  MathSciNet  MATH  Google Scholar 

  11. Spindler, H.; Trautmann, G.: Special instanton bundles on ℙ2N+1, their geometry and their moduli. Math. Ann. 286 (1990), 559–592

    Article  MathSciNet  MATH  Google Scholar 

  12. Uhlenbeck, K.K.; Yau, S.T.: On the existence of Hermite-Yang-Mills connections in stable vector bundles. Comm. Pure Appl. Math. 39 (1986), 257–293

    Article  MathSciNet  MATH  Google Scholar 

  13. Völlinger, H.: Moduli von Kernbündeln auf ℙN(ℂ) ... Dissertation Kaiserslautern 1988

    Google Scholar 

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Klaus Hulek Thomas Peternell Michael Schneider Frank-Olaf Schreyer

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© 1992 Springer-Verlag

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Bohnhorst, G., Spindler, H. (1992). The stability of certain vector bundles on ℙn . In: Hulek, K., Peternell, T., Schneider, M., Schreyer, FO. (eds) Complex Algebraic Varieties. Lecture Notes in Mathematics, vol 1507. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0094509

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  • DOI: https://doi.org/10.1007/BFb0094509

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55235-2

  • Online ISBN: 978-3-540-46786-1

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