Abstract We prove the existence of a linearization for singular principal G-bundles not depending on the base curve. This allow us to construct the relative compact moduli space of δ-(semi)stable singular principal G-bundles over families of reduced projective and connected nodal curves, and to reduce the construction of the universal moduli space over 𝓜g to the construction of the universal moduli space of swamps.

中文翻译：

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关于稳定曲线上奇异主丛的模空间

摘要 我们证明了不依赖于基曲线的奇异主 G 丛的线性化的存在。这使我们能够在简化的投影和连接节点曲线的族上构造 δ-（半）稳定奇异主 G 丛的相对紧凑模空间，并将 𝓜g 上的通用模空间的构造简化为通用模空间的构造沼泽的模空间。