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arXiv · 1910.05782

A simplified proof of optimal $L^2$-extension theorem and extensions from non-reduced subvarieties

Genki Hosono
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Abstract

We give a simplified proof of an optimal version of the Ohsawa-Takegoshi $L^2$-extension theorem. We follow the variational proof by Berndtsson-Lempert and use the method in the paper of McNeal-Varolin. As an application, we give an optimal estimate for extensions from possibly non-reduced subvarieties.

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Genki Hosono. 2019-10-13. A simplified proof of optimal $L^2$-extension theorem and extensions from non-reduced subvarieties. https://arxiv.org/abs/1910.05782

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