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arxiv: 1007.2836 · v1 · submitted 2010-07-16 · 🧮 math.AG · math.DG

On the boundary behavior of the curvature of L2-metrics

classification 🧮 math.AG math.DG
keywords behaviorbundledirectimageahlerasymptoticboundarycanonical
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For one-parameter degenerations of compact K\"ahler manifolds, we determine the asymptotic behavior of the first Chern form of the direct image of a Nakano semi-positive vector bundle twisted by the relative canonical bundle, when the direct image is equipped with the L2-metric.

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