紧凑复流形上平非琐线束的均匀 L^2$ 估计值

arXiv - MATH - Complex Variables Pub Date : 2024-09-09 DOI:arxiv-2409.05300

Yoshinori Hashimoto, Takayuki Koike, Shin-ichi Matsumura

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引用次数: 0

摘要

在本文中，我们将前人在紧凑K "ahler流形中证明的关于平坦非难线束的$bar{/partial}$方程的统一$L^2$估计值推广到紧凑复流形中。在证明中，通过详细追踪多尔贝同构，我们直接从上田定理推导出了所需的$L^2$估计值。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Uniform $L^2$-estimates for flat nontrivial line bundles on compact complex manifolds

In this paper, we extend the uniform $L^2$-estimate of $\bar{\partial}$-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 $L^2$-estimate directly from Ueda's lemma.

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arXiv - MATH - Complex Variables

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