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On a construction of hermitian metrics on holomorphic vector bundles

Lempert, Laszlo
arXiv (All) · Papers
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algebraic-geometrycomplex-variablesdifferential-geometry
With any holomorphic vector bundle $E$ over a compact base one can associate a line bundle, denoted $O_{PE}(1)$. According to a conjecture of Griffiths, if $O_{PE}(1)$ admits a positively curved hermitian metric $k$, then $E$ also admits a positively curved hermitian metric, $h$. In this paper we sh
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