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Interpolation in non-positively curved Kähler manifolds

Christophe Mourougane
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Abstract

We extend to any simply connected Kähler manifold with non-positive sectional curvature some conditions for interpolation in $\mathbb{C}$ and in the unit disk given by Berndtsson, Ortega-Cerdà and Seip. The main tool is a comparison theorem for the Hessian in Kähler geometry due to Greene, Wu and Siu, Yau.

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Christophe Mourougane. 2001-03-07. Interpolation in non-positively curved Kähler manifolds. https://doi.org/10.1007/bf02931003

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