Weakly Positive Sheaves and Vanishing Theorems

  • Eckart Viehweg
Part of the Ergebnisse der Mathematik und ihrer Grenzgebiete book series (MATHE3, volume 30)


As indicated in the introduction and in 1.22, positivity properties of direct image sheaves will play a prominent role in the construction of moduli schemes. In this paragraph we will define numerically effective and weakly positive sheaves. In order to prove some of their properties we will use covering constructions, a tool which will reappear in different parts of this book.


Global Section Coherent Sheave Coherent Sheaf Finite Covering Free Sheaf 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Eckart Viehweg
    • 1
  1. 1.Fachbereich 6, MathematikUniversität-Gesamthochschule EssenEssenGermany

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