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  • Berndtsson, Bo, 1950 (author)
  • Curvature of vector bundles associated to holomorphic fibrations
  • 2009
  • In: Annals of Mathematics. - : Annals of Mathematics. - 0003-486X. ; 169:2, s. 531-560
  • Journal article (peer-reviewed)abstract
    • Let L be a (semi)-positive line bundle over a Kähler manifold, X, fibered over a complex manifold Y. Assuming the fibers are compact and nonsingular we prove that the hermitian vector bundle E over Y whose fibers over points y are the spaces of global sections over Xy to L ⊗ Kx/y, endowed with the L2-metric, is (semi)-positive in the sense of Nakano. We also discuss various applications, among them a partial result on a conjecture of Griffiths on the positivity of ample bundles.
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Type of publication
journal article (1)
Type of content
peer-reviewed (1)
Author/Editor
Berndtsson, Bo, 1950 (1)
University
University of Gothenburg (1)
Chalmers University of Technology (1)
Language
English (1)
Research subject (UKÄ/SCB)
Natural sciences (1)
Year
2009 (1)

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