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Filtrable bundles of rank 2 on Hopf surfaces

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References

  1. Atiyah, M.F.: Vector bundles over elliptic curves. Proc. Lond. Math. Soc.7, 414–452 (1957)

    Article  MATH  MathSciNet  Google Scholar 

  2. Atiyah, M.F.: Complex analytic connections in fibre bundles. Trans. Am. Math. Soc.85, 181–207 (1957)

    Article  MATH  MathSciNet  Google Scholar 

  3. Bânicâ, C., Le Potiers, J.: Sur l'existence des fibrés vectoriels holomorphes sur les surfaces non-algébriques. J. Reine Angew. Math.378, 1–31 (1987)

    MATH  MathSciNet  Google Scholar 

  4. Braam, P.J., Hurtubise, J.: Instantons on Hopf surfaces and monopoles on solid tori. J. Reine Angew. Math.400, 146–172 (1989)

    MATH  MathSciNet  Google Scholar 

  5. Brînzânescu, V., Flondor, P.: Holomorphic 2-vector bundles on non algebraic 2-tori. J. Reine Angew. Math.363, 47–58 (1985)

    MATH  MathSciNet  Google Scholar 

  6. Dąbrowski, K.: Moduli Spaces for Hopf Surfaces. Math. Ann.259, 201–225 (1982)

    Article  MathSciNet  Google Scholar 

  7. Elencwajg, G., Forster, O.: Vector bundles on manifolds without divisors and a theorem on deformations, Ann. Inst. Fourier32, 25–51 (1982)

    MATH  MathSciNet  Google Scholar 

  8. Haefliger, A.: Deformations of transversely holomorphic flows on spheres and deformations of Hopf manifolds. Compos. Math.55, 241–251 (1985)

    MATH  MathSciNet  Google Scholar 

  9. Kodaira, K.: On the structure of compact complex analytic surfaces, I, II. Am. J. Math.86, 751–798 (1964);88, 682–721 (1966)

    Article  MATH  MathSciNet  Google Scholar 

  10. Kodaira, K.: Complex structures onS 1×S 3. Proc. Natl. Acad. Sci. USA55, 240–243 (1968)

    Article  MathSciNet  Google Scholar 

  11. Mall, D.: Holomorphic vector bundles and foliations on Hopf manifolds. Ph.D. thesis, Geneva (1988)

  12. Mall, D.: The cohomology of line bundles on Hopf manifolds. Osaka J. Math.28, 999–1015 (1991)

    MATH  MathSciNet  Google Scholar 

  13. Mall, D.: On holomorphic vector bundles on Hopf manifolds with trivial pullback over the universal covering. Math. Ann. (to appear)

  14. Milnor, J.: Singular Points of Complex Hypersurfaces, Princeton: Princeton University Press 1968

    MATH  Google Scholar 

  15. Namba, M.: Automorphism groups of Hopf surfaces. Tôhoku Math. J.26, 133–157 (1974)

    MATH  MathSciNet  Google Scholar 

  16. Okonek, C., Schneider, M., Spindler, H.: Vector bundles on complex projective spaces. Boston Basel Stuttgart: Birkhäuser 1980

    MATH  Google Scholar 

  17. Wehler, J.: Versal deformation of Hopf surfaces. J. Reine Angew. Math.328, 22–32 (1981)

    MATH  MathSciNet  Google Scholar 

  18. Wu, W.S., Reeb, G.: Sur les espaces fibrés et les varietés feuilletées. (Actval. Sci. Ind., vol. 1183) Paris: Hermann 1952

    MATH  Google Scholar 

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  1. Mathematik, ETH-Zentrum, HG G 14.1, Rämistrasse 101, CH-8092, Zürich, Switzerland

    Daniel Mall

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  1. Daniel Mall
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Mall, D. Filtrable bundles of rank 2 on Hopf surfaces. Math Z 212, 239–255 (1993). https://doi.org/10.1007/BF02571656

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  • DOI: https://doi.org/10.1007/BF02571656

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