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Curvature of vector bundles associated to holomorphic fibrations

Bo Berndtsson (Institutionen för matematiska vetenskaper, matematik)
Annals of Mathematics (0003-486X). Vol. 169 (2009), 2, p. 531-560.
[Artikel, refereegranskad vetenskaplig]

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.

Denna post skapades 2009-12-21. Senast ändrad 2016-09-14.
CPL Pubid: 104548


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Institutionen för matematiska vetenskaper, matematik (2005-2016)



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