点光滑曲线上主束的泛模堆的Picard群

Pub Date : 2022-09-27 DOI:10.1112/topo.12257

Roberto Fringuelli, Filippo Viviani

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引用次数: 4

摘要

对于代数闭域k$ k$上的任意光滑连通线性代数群G$ G$，我们描述了点光滑k$ k$ -射影曲线上主G$ G$ -束的泛模堆的Picard群。

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The Picard group of the universal moduli stack of principal bundles on pointed smooth curves

For any smooth connected linear algebraic group $G$ over an algebraically closed field $k$ , we describe the Picard group of the universal moduli stack of principal $G$ -bundles over pointed smooth $k$ -projective curves.

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