Effective bounds for semipositive sheaves and for the height of points on curves over complex function fields

  • Hélène Esnault
  • Eckart Viehweg


In this note we prove an effective version of the positivity theorems for certain direct image sheaves for fibre spaces over curves and apply it to obtain bounds for the height of points on curves of genus g ≥ 2 over complex function fields. Similar positivity theorems over higher dimensional basis and their applications to moduli spaces [13] were presented by the second author at the conference on algebraic geometry, Humboldt Universität zu Berlin, 1988.


General Fibre Effective Divisor Fibre Space Surjective Morphism Projective Manifold 
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Copyright information

© Kluwer Academic Publishers. Printed in the Netherlands 1990

Authors and Affiliations

  • Hélène Esnault
    • 1
  • Eckart Viehweg
    • 2
  1. 1.Max-Planck-Institut für MathematikBonn 3Germany
  2. 2.FB6, MathematikUniversität-GH-EssenEssen 1Germany

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