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arXiv 0911.2649math.AG
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$Pic(\overline{\mathfrak{M}}_{0,n})$的多边形表示

A polygonal presentation of $Pic(\overline{\mathfrak{M}}_{0,n})$

Sarah Carr

摘要:

在本文的第一部分,我们回顾基尔的著名介绍$Pic(\overline{\mathfrak{M}}_{0,n})$使用不可约边界因子的$\overline{\mathfrak{M}}_{0,n}$作为发电机,并描述了$Pic(\overline{\mathfrak{M}}_{0,n})$的基础上最近发现的基尔和Gibney。在第二节中,我们提出了一个定理,它给出了一个明确的和非常简单的表达式,每个边界因子在这个基础上,从而产生一个新的介绍与最小的一组关系。

英文摘要:

In the first section of this article, we recall Keel's well-known presentation of $Pic(\overline{\mathfrak{M}}_{0,n})$ using irreducible boundary divisors of $\overline{\mathfrak{M}}_{0,n}$ as generators, and describe a basis for $Pic(\overline{\mathfrak{M}}_{0,n})$ recently discovered by Keel and Gibney. In the second section, we present a theorem which gives an explicit and very simple expression for every boundary divisor in terms of this basis, thereby yielding a new presentation with a minimal set of relations.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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