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On the diffeomorphism types of elliptic surfaces with multiple fibers

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References

  1. Donaldson, S.K.: La topologie différentielle des surface complexes. C.R. Acad. Sci.301, 317–320 (1985)

    Google Scholar 

  2. Iwase, Z.: Good torus fibrations with twin singular fibers. Jap. J. Math.10, 321–352 (1984)

    Google Scholar 

  3. Kas, A.: On the deformation types of regular elliptic surfaces. In: Kas, A. (ed.): Complex Analysis and Algebraic Geometry. pp. 107–112. Tokyo: Iwanami and Cambridge University Press 1977

    Google Scholar 

  4. Kodaira, K.: On compact analytic surfaces II. Ann. Math.177, 563–626 (1963)

    Google Scholar 

  5. Kodaira, K.: On homotopyK3 surfaces. In: Kodaira, K. (ed.). Essays on Topology and Related Topics. Mémoires dèdiés à Georges de Rham, pp 58–69. Berlin-Heidelberg-New York: Springer 1970

    Google Scholar 

  6. Mandelbaum, R.: On the topology of elliptic surfaces. Studies in Algebraic Topology. Adv. Math. Suppl. Stud.5, 143–166 (1979)

    Google Scholar 

  7. Matsumoto, Y.: Diffeomorphisms types of elliptic surfaces. University of Tokyo (preprint, 1985)

  8. Matsumoto, Y.: Diffeomorphism types of elliptic surfaces. Proc. Jap. Acad.61, 55–58 (1985)

    Google Scholar 

  9. Matsumoto, T.: Extension problem of diffeomorphisms of a 3-torsus over some 4-manifolds. Hiroshima Math. J.14, 189–201 (1984)

    Google Scholar 

  10. Moishezon, B.: Complex surfaces and connected sums of complex projective planes. Lect. Notes Math.603. Berlin-Heidelberg-New York: Springer 1977

    Google Scholar 

  11. Thurston, W.: The geometry and topology of 3-manfolds. Lect. Notes, Princeton: University Press 1978–79

    Google Scholar 

  12. Waldhausen, F.: On irreducible 3-manifolds which are sufficiently large. Ann. Math.87, 56–88 (1968)

    Google Scholar 

  13. Zieschang, H.: On toric fiberings over surfaces. Math. Zametki5, 1969=Math. Notes5, 341–345 (1969)

    Google Scholar 

  14. Zieshang, H., Vogt, E., Coldeway, H.D.: Surfaces and planar discontinuous groups. Lect. Notes Math.835, Berlin-Heidelberg-New York: Springer 1980

    Google Scholar 

  15. Friedman, R., Morgan, J.: On the diffeomorphism types of certain elliptic surfaces. Columbia University (New York) (Preprint, 1985)

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Ue, M. On the diffeomorphism types of elliptic surfaces with multiple fibers. Invent Math 84, 633–643 (1986). https://doi.org/10.1007/BF01388750

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