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Abstract

In this chapter we discuss local positivity. The theory originates with Demailly’s idea for quantifying how much of the positivity of an ample line bundle can be localized at a given point of a variety. The picture turns out to be considerably richer and more structured than one might expect at first glance, although the existing numerical results are (presumably!) not optimal.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Robert Lazarsfeld
    • 1
  1. 1.Department of MathematicsUniversity of MichiganAnn ArborUSA

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