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On the geography of surfaces

Simply connected minimal surfaces with positive index

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References

  1. Barth, W., Peters, C., Van de Ven, A.: Compact complex surfaces. Berlin, Heidelberg, New York: Springer 1984

    Google Scholar 

  2. Gieseker, D.: Global moduli for surfaces of general type. Invent. Math.43, 233–282 (1977)

    Google Scholar 

  3. Holzapfel, R.-P.: A class of minimal surfaces in the unknown region of surface geography. Math. Nachr.98, 211–232 (1980)

    Google Scholar 

  4. Persson, U.: Chern invariants of surfaces of general type. Compos. Math.43, 3–58 (1981)

    Google Scholar 

  5. Persson, U.: Double coverings and surfaces of general type. Proceedings of the algebraic geometry conference in Tromso. Lect. Notes Math. 697. Berlin, Heidelberg, New York: Springer 1978

    Google Scholar 

  6. Sommese, A.J.: On the density of ratios of Chern numbers of algebraic surfaces. Math. Ann.268, 207–221 (1984)

    Google Scholar 

  7. Xiao, G.: Surfaces fibrées en courbes de genre deux. Lect. Notes Math. 1137. Berlin, Heidelberg, New York: Springer 1985

    Google Scholar 

  8. Xiao, G.: An example of hyperelliptic surfaces with positive index. North-Eastern Math. J. (published in China) (to appear)

  9. Xiao, G.: Simply connected surface with positive index: an example (Sketch), private letter

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Authors and Affiliations

  1. Department of Mathematics, East China Normal University, 200062, Shanghai, China

    Zhijie Chen

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  1. Zhijie Chen
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Supported by the Science Fund of the Chinese Academy of Sciences No. 842106

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Chen, Z. On the geography of surfaces. Math. Ann. 277, 141–164 (1987). https://doi.org/10.1007/BF01457284

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  • DOI: https://doi.org/10.1007/BF01457284

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