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The Openness Conjecture and Complex Brunn-Minkowski Inequalities

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Complex Geometry and Dynamics

Part of the book series: Abel Symposia ((ABEL,volume 10))

Abstract

We discuss recent versions of the Brunn-Minkowski inequality in the complex setting, and use it to prove the openness conjecture of Demailly and Kollár.

Dedicated to Bradley Manning and Edward Snowden in recognition of their work for openness

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Author information

Authors and Affiliations

  1. Department of Mathematics, Chalmers University of Technology, Göteborg, Sweden

    Bo Berndtsson

Authors
  1. Bo Berndtsson
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Correspondence to Bo Berndtsson .

Editor information

Editors and Affiliations

  1. Department of Mathematical Sciences, NTNU Gløshaugen, Trondheim, Norway

    John Erik Fornæss

  2. Department of Mathematical Sciences, NTNU Gløshaugen, Trondheim, Norway

    Marius Irgens

  3. Department of Mathematics, University of Oslo, Oslo, Norway

    Erlend Fornæss Wold

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Berndtsson, B. (2015). The Openness Conjecture and Complex Brunn-Minkowski Inequalities. In: Fornæss, J., Irgens, M., Wold, E. (eds) Complex Geometry and Dynamics. Abel Symposia, vol 10. Springer, Cham. https://doi.org/10.1007/978-3-319-20337-9_2

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