摘要翻译：
构造了具有固定Segre符号$\sigma$的二次线复形的粗模空间$\cm_{qc}(\sigma)$以及相应奇异曲面的模空间$\cm_{ss}(\sigma)$。我们证明了与二次线复形相关联的映射，其奇异曲面诱导一个态射$\pi:\cm_{qc}(\sigma)\ra\cm_{ss}(\sigma)$。最后，我们推导出共奇异二次线复形的变数几乎总是曲线。
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英文标题：
《Moduli spaces of quadratic complexes and their singular surfaces》
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作者：
D. Avritzer, H. Lange
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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：
  We construct the coarse moduli space $\cM_{qc}(\sigma)$ of quadratic line complexes with a fixed Segre symbol $\sigma$ as well as the moduli space $\cM_{ss}(\sigma)$ of the corresponding singular surfaces. We show that the map associating to a quadratic line complex its singular surface induces a morphism $\pi: \cM_{qc}(\sigma) \ra \cM_{ss}(\sigma)$. Finally we deduce that the varieties of cosingular quadratic line complexes are almost always curves.
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PDF链接：
https://arxiv.org/pdf/0707.2440