论文标题

在稳定尖曲线的模量堆栈的PICARD组方案上

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

论文作者

Fringuelli, Roberto, Viviani, Filippo

论文摘要

本文的目的是在任意方案上研究(摘要)PICARD组和稳定尖曲线的PICARD组方案。作为副产品,我们计算了与两个不同的特征磁场上的稳定或光滑指向曲线的模量堆栈的PICARD基团。

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.

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