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arxiv: 1507.06195 · v4 · pith:4O43ZBG6new · submitted 2015-07-22 · 🧮 math.CV

An extension theorem for hermitian line bundles

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keywords bundlescurrentsextensionhermitianlinetheoremapplicationsclosed
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We prove a general extension theorem for holomorphic line bundles on reduced complex spaces, equipped with singular hermitian metrics, whose curvature currents can be extended as positive, closed currents. The result has applications to various moduli theoretic situations.

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