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Hermite--Einstein metrics in singular settings
arXiv - MATH - Algebraic Geometry Pub Date : 2023-03-15 , DOI: arxiv-2303.08773
Junyan Cao, Patrick Graf, Philipp Naumann, Mihai Paun, Thomas Peternell, Xiaojun Wu

In this article we pursue the following main goals. In the first place, we establish the existence of "estimable" Hermite--Einstein metrics for stable reflexive coherent sheaves on compact normal K\"ahler spaces. If moreover the background variety has klt singularities, we obtain a much more precise result.

中文翻译:

Hermite——奇异设置下的爱因斯坦度量

在本文中,我们追求以下主要目标。首先,我们建立了“可估计的”Hermite-Einstein 度量的存在性,用于紧正规 K\"ahler 空间上的稳定自反相干槽轮。此外,如果背景变化具有 klt 奇点,我们将获得更精确的结果。
更新日期:2023-03-16
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