论文标题

在曲线上的对数G连接的模量堆栈的准紧密度上

On the quasicompactness of the moduli stack of logarithmic G-connections over a curve

论文作者

Herrero, Andres Fernandez

论文摘要

将光滑的投射曲线固定在特征零和有限的穿刺的领域上。令G为连接的线性代数组。我们证明,与对数连接具有固定残基类别的对数连接的G型模量是有限类型的代数堆栈。

Fix a smooth projective curve over a field of characteristic zero and a finite set of punctures. Let G be a connected linear algebraic group. We prove that the moduli of G-bundles with logarithmic connections having fixed residue classes at the punctures is an algebraic stack of finite type.

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