Curvature of vector bundles associated to holomorphic fibrations
نویسندگان
چکیده
منابع مشابه
Curvature of Vector Bundles Associated to Holomorphic Fibrations
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 non-singular we prove that the hermitian vector bundle E whose fibers are the space of global sections to L⊗KX/Y endowed with the L-metric is (semi)-positive in the sense of Nakano. As an application we prove a partial result on a conjecture of Griffiths on ...
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ژورنال
عنوان ژورنال: Annals of Mathematics
سال: 2009
ISSN: 0003-486X
DOI: 10.4007/annals.2009.169.531