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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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© 2004 Springer-Verlag Berlin Heidelberg

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Lazarsfeld, R. (2004). Local Positivity. In: Positivity in Algebraic Geometry I. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, vol 48. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18808-4_7

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  • DOI: https://doi.org/10.1007/978-3-642-18808-4_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22528-7

  • Online ISBN: 978-3-642-18808-4

  • eBook Packages: Springer Book Archive

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