A simplified proof of optimal $L^2$-extension theorem and extensions from non-reduced subvarieties
Complex Variables
2019-10-15 v1
Abstract
We give a simplified proof of an optimal version of the Ohsawa-Takegoshi -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.
Keywords
Cite
@article{arxiv.1910.05782,
title = {A simplified proof of optimal $L^2$-extension theorem and extensions from non-reduced subvarieties},
author = {Genki Hosono},
journal= {arXiv preprint arXiv:1910.05782},
year = {2019}
}
Comments
10 pages