A degeneration approach to Skoda's Division Theorem
Abstract
We prove a Skoda-type division theorem via a degeneration argument. The proof is inspired by B. Berndtsson and L. Lempert's approach to the L2 extension theorem and is based on positivity of direct image bundles. The same tools are then used to slightly simplify and extend the proof of the L2 extension theorem given by Berndtsson and Lempert.
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