A degeneration approach to Skoda's Division Theorem
Complex Variables
2024-02-01 v3 Algebraic Geometry
Differential Geometry
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 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 extension theorem given by Berndtsson and Lempert.
Keywords
Cite
@article{arxiv.2212.07298,
title = {A degeneration approach to Skoda's Division Theorem},
author = {Roberto Albesiano},
journal= {arXiv preprint arXiv:2212.07298},
year = {2024}
}
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17 pages