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Moduli reflexiver Garben und Flächen von kleinem Grad in ℙ4

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Literatur

  1. Barth, W.: Some properties of stable rank-2 vector bundles on ℙ n . Math. Ann.226, 125–150 (1977)

    Google Scholar 

  2. Beauville, A.: Surfaces algébriques complexes. Astérisque54. Paris: Soc. Math. de France 1978

    Google Scholar 

  3. Beilinson, A.: Coherent sheaves on ℙ n and problems in linear algebra. Functional Anal. Appl.12, 214–216 (1978)

    Google Scholar 

  4. Ein, L.: Some stable vector bundles of rank 3 and 4 on ℙ 4 k and ℙ 5 k . Erscheint in Math. Ann.

  5. Grauert, H., Mülich, G.: Vektorbündel vom Rang 2 über demn-dimensionalen komplexprojektiven Raum. Manuscripta Math.16, 75–100 (1975)

    Google Scholar 

  6. Griffiths, Ph., Harris, J.: Principles of algebraic geometry. New York: Wiley 1978

    Google Scholar 

  7. Hartshorne, R.: Algebraic geometry. Graduate Texts in Math.52. New York: Springer 1977

    Google Scholar 

  8. Hartshorne, R.: Stable vector bundles of rank 2 on ℙ3. Math. Ann.238, 229–280 (1978)

    Google Scholar 

  9. Hartshorne, R.: Varieties of small codimension in projective space. Bull. Amer. Math. Soc.80, 1017–1032 (1974)

    Google Scholar 

  10. Hartshorne, R.: Stable reflexive sheaves. Math. Ann.254, 121–176 (1980)

    Google Scholar 

  11. Kleiman, S.L.: Geometry on grassmannians and applications to splitting bundles and smoothing cycles. Inst. Hautes Études Sci. Publ. Math.36, 281–298 (1969)

    Google Scholar 

  12. Mumford, D.: Lectures on curves on an algebraic surface. Annals of Math. Studies59. Princeton: Princeton Univ. Press 1966

    Google Scholar 

  13. Okonek, C., Schneider, M., Spindler, H.: Vector bundles on complex projective spaces. Progress in Math.3. Boston: Birkhäuser 1980

    Google Scholar 

  14. Okonek, C.: Reflexive Garben auf ℙ4. Math. Ann.260, 211–237 (1982)

    Google Scholar 

  15. Schneider, M.: Chernklassen semistabiler Vektorraumbündel vom Rang 3 auf dem komplexprojektiven Raum. J. Reine Angew. Math.315, 211–220 (1980)

    Google Scholar 

  16. Semple, J.G., Roth, L.: Introduction to algebraic geometry. Oxford: Clarendon 1949

    Google Scholar 

  17. Severi, F.: Intorno ai punti doppi impropi di una superficie generale dello spazio a quattro dimensioni, e a suoi punti tripli apparenti. Rend. Circ. Mat. Palermo15, 33–81 (1901)

    Google Scholar 

  18. Spindler, H.: Die Modulräume stabiler 3-Bündel auf ℙ4 mit den Chernklassenc 1=0,c 3=c 22 c 2. Math. Ann.256, 133–143 (1981)

    Google Scholar 

  19. Swinnerton-Dyer, H.P.F.: An enumeration of all varietien of degree 4. Amer. J. Math.95, 403–418 (1973)

    Google Scholar 

  20. Tango, H.: An example of indecomposable vector bundles of rankn−1 on ℙn. J. Math. Kyoto Univ.16, 137–141 (1976)

    Google Scholar 

  21. Vogelaar, J.A.: Constructing vector bundles from codimension two subvarieties. Dissertation, Leiden 1979

  22. X.X.X.: Correspondence. Amer. J. Math.79, 951–952 (1957)

    Google Scholar 

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Okonek, C. Moduli reflexiver Garben und Flächen von kleinem Grad in ℙ4 . Math Z 184, 549–572 (1983). https://doi.org/10.1007/BF01161734

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