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Curvature of vector...
Curvature of vector bundles associated to holomorphic fibrations
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- Berndtsson, Bo, 1950 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematik,Department of Mathematical Sciences, Mathematics,Chalmers tekniska högskola,Chalmers University of Technology,University of Gothenburg
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(creator_code:org_t)
- 2009-03-01
- 2009
- Engelska.
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Ingår i: Annals of Mathematics. - : Annals of Mathematics. - 0003-486X. ; 169:2, s. 531-560
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http://annals.math.p...
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Abstract
Ämnesord
Stäng
- 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.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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