Mathematische Annalen

, Volume 276, Issue 3, pp 449–466

Fibered algebraic surfaces with low slope

  • Xiao Gang
Article

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References

  1. 1.
    Barth, W.-Peters, C.-Van de Ven, A.: Compact complex surfaces. Berlin, Heidelberg, New York: Springer 1984Google Scholar
  2. 2.
    Beauville, A.: Sur le nombre de points doubles d'une surface dansP 3(μ(5)=31). In: Algebraic geometry, Anger 1979. Alphen an de Rijn: Sijthoff and Noordhoff 1980Google Scholar
  3. 3.
    Beauville, A.: L'inégalitép g≧2q−4 pour les surfaces de type général, Appendix to Debarre, O.: Inégalités numériques pour les surfaces de type général. Bull. Soc. Math. Fr.110, 319–346 (1982)Google Scholar
  4. 4.
    Catanese, F.: Moduli of surfaces of general type. In: Algebraic geometry — open problems. Lect. Notes Math. 997. Berlin, Heidelberg, New York: 1983Google Scholar
  5. 5.
    Fujita, T.: On Kähler fiber spaces over surves, J. Math. Soc. Japan30, 779–794 (1978)Google Scholar
  6. 6.
    Harder, G.-Narasimhan, M.S.: On the cohomology groups of moduli spaces of vector bundles on curves. Math. Ann,212,215 (1974)Google Scholar
  7. 7.
    Hartshone, R.: Curves with high self-intersection on algebraic surfaces. Publ. Math. IHES36, 111–125 (1969)Google Scholar
  8. 8.
    Hartshorne, R.: Ample vector bundles on curves. Nagoya Math. J.43, 73–89 (1971)Google Scholar
  9. 9.
    Horikawa, E.: Algebraic surfaces of general type with smallc 12,V. J. Fac. Sci. Univ. Tokyo Sect. A28, 745–755 (1981)Google Scholar
  10. 10.
    Persson, U.: Double coverings and surfaces of general type. In: Algebraic geometry. Lect. Notes Math.687, Berlin, Heidelberg, New York: Springer 1978Google Scholar
  11. 11.
    Persson, U.: Chern invariants of surfaces of general type. Compo. Math.43, 3–58 (1981)Google Scholar
  12. 12.
    Reid, M.: 466-2 for surfaces with smallc 12. In: Algebraic geometry, pp. 534–544. Lect. Notes Math.732, Berlin, Heidelberg, New York: Springer 1978Google Scholar
  13. 13.
    Severi, F.: La serie canonica e la teoria delle serie principali dei gruppi di punti sopra una superficie algebrica. Comment. Math. Helv.4, 268–326 (1932)Google Scholar
  14. 14.
    Xiao, G.: Surfaces fibrées en courbes de genre deux. Lect. Notes Math. 1137. Springer 1985Google Scholar
  15. 15.
    Xiao, G.: Hyperelliptic surfaces of general type withK 2<4χ. PreprintGoogle Scholar
  16. 16.
    Xiao, G.: Algebraic surfaces with high canonical degree. Math. Ann.274, 473–483 (1986)Google Scholar

Copyright information

© Springer-Verlag 1987

Authors and Affiliations

  • Xiao Gang
    • 1
  1. 1.Department of MathematicsEast China Normal UniversityShanghaiChina

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