Norm estimates for the $\bar\partial$-equation on a non-reduced space
Complex Variables
2023-10-06 v2
Abstract
We study norm-estimates for the -equation on non-reduced analytic spaces. Our main result is that on a non-reduced analytic space, which is Cohen-Macaulay and whose underlying reduced space is smooth, the -equation for -forms can be solved with -estimates.
Cite
@article{arxiv.2209.05906,
title = {Norm estimates for the $\bar\partial$-equation on a non-reduced space},
author = {Mats Andersson and Richard Lärkäng},
journal= {arXiv preprint arXiv:2209.05906},
year = {2023}
}
Comments
28 pages