Uniform $L^2$-estimates for flat nontrivial line bundles on compact complex manifolds
Complex Variables
2024-09-10 v1
Abstract
In this paper, we extend the uniform -estimate of -equations for flat nontrivial line bundles, proved for compact K\"ahler manifolds in the previous work, to compact complex manifolds. In the proof, by tracing the Dolbeault isomorphism in detail, we derive the desired -estimate directly from Ueda's lemma.
Keywords
Cite
@article{arxiv.2409.05300,
title = {Uniform $L^2$-estimates for flat nontrivial line bundles on compact complex manifolds},
author = {Yoshinori Hashimoto and Takayuki Koike and Shin-ichi Matsumura},
journal= {arXiv preprint arXiv:2409.05300},
year = {2024}
}