摘要翻译：
g属Deligne-Mumford稳定曲线的模叠加允许分层，使得属于一个层的曲线的节点数是常数。对应于3g-4节点曲线的地层不可约分量是一维子叠加。我们展示了它们是如何与（置换类）尖稳定曲线的模栈相关联的。利用这一点，我们以一种新的方式构造这个层的所有组成部分作为商栈。
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英文标题：
《The one-dimensional stratum in the boundary of the moduli stack of
  stable curves》
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作者：
Joerg Zintl
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最新提交年份：
2007
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分类信息：

一级分类：Mathematics        数学
二级分类：Algebraic Geometry        代数几何
分类描述：Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇，叠，束，格式，模空间，复几何，量子上同调
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英文摘要：
  The moduli stack of Deligne-Mumford stable curves of genus g admits a stratification, so that the number of nodes of the curves belonging to one stratum is constant. The irreducible components of the stratum corresponding to curves with exactly 3g-4 nodes are one-dimensional substacks. We show how they can be related to moduli stacks of (permutation classes of) pointed stable curves. Using this, we construct all components of this stratum in a new way as quotient stacks.
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PDF链接：
https://arxiv.org/pdf/0712.4251