On the Picard group scheme of the moduli stack of stable pointed curves

On the Picard group scheme of the moduli stack of stable pointed curves
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稳定尖曲线模叠加的Picard群方案

DOI:
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发表时间:
2020
期刊:
影响因子:
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通讯作者:
Filippo Viviani
Filippo Viviani
中科院分区:
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文献类型:
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作者:
Roberto Fringuelli;Filippo Viviani

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本文研究了任意概型上稳定点曲线模栈的(抽象)Picard群和Picard群概型。作为一个副产品,我们计算的皮卡德集团的模堆栈的稳定或光滑的尖曲线在一个领域的特征不同于两个。
The aim of the present paper is to study the (abstract) Picard group and the Picard group scheme of the moduli stack of stable pointed curves over an arbitrary scheme. As a byproduct, we compute the Picard groups of the moduli stack of stable or smooth pointed curves over a field of characteristic different from two.