Canonical Dimension of an Elliptic or Quasielliptic Fibration

  • Lucian Bădescu
Part of the Universitext book series (UTX)


Let f: XB be an elliptic or quasielliptic fibration. Theorem 7.15 expresses the dualizing sheaf ω x of X in the form
$${\omega _x} = f*({L^{ - 1}} \otimes {\omega _B}) \otimes {{\text{O}}_x}(\sum\limits_{i = 1}^r {{a_i}{p_i}} )0{a_i} < {m_i}$$


Minimal Surface Elliptic Curve Integral Curve Hyperplane Section Effective Divisor 
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Bibliographic References

  1. Everything in this chapter is presented after [BM1].Google Scholar

Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • Lucian Bădescu
    • 1
  1. 1.Institute of MathematicsRomanian AcademyBucharestRomania

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